There appears to be an unanswered part of this question regarding electrical safety and what electricity does to you. The level 3 charging station actually has both 480V 3 phase AC input and 480V capable DC output, so two separate potential dangers. Both, if installed properly have many safety features to decrease the likelihood of a person getting shocked. One of the first precautions in an electrical design with a dangerous voltage is simply to build the equipment so that humans can't come in contact with current carrying parts unless they do something stupid or something breaks. In addition to the insulation that protects you from the wire, assorted means of "mechanical protection" are used to make the wire resilient to a reasonable amount of abuse for its purpose, like placing the wires inside walls, or using armored cable or drawing the wires into pipes which in turn may be poured into concrete or simply buried.
Where metal parts like boxes or pipe are used, they are attached to the ground wire to ensure that if a live wire touches them, instead of being energized to the voltage of the wire, the low resistance ground connection allows a massive amount of current to flow to ground, which in turn trips the circuit breaker very rapidly so that the current surge does not last long enough to damage anything. This deenergises the circuit and the object and removes the danger. The "bang" or "pop" noise you hear along with other signs like smoke, heat or the lights in one half of the building going out, along with knowledge of what has been recently modified or is exposed to abuse and what the blown breaker is attached to will help you locate the fault. You can also get devices called GFCIs (Ground Fault Circuit Interruptor) built into breakers or receptacles or just on their own, that blow the breaker immediately at a small detected ground current. These are usually required where conductive liquids may be present, like in the kitchen, the bathroom, or outside.
Where additional danger is present, like a flexible cable capable of carrying huge current at significant voltage that needs reach the car and could be damaged, additional precautions can be taken, such as using an "intelligent" charger that communicates with the car and doesn't apply voltage until the system is securely connected.
So a whole lot of people have put a lot of effort into design and installation rules to ensure that accidents occur as rarely as possible, but what happens when one does occur?
Well first, how much current flows? That is determined by voltage and the resistance of the load (if you're getting shocked, you're the load). Line voltage sources have a current limit, but a 15A 120V circuit won't just deliver 15A to any load that touches it.
\$I(Current) = E(Voltage) / R(Resistance)\$
The resistance you have when being shocked depends on the conditions and the path through you the current must take to reach the other side of the circuit. The resistance from the palm of your hand to the back of your hand will be much lower than the resistance from your hand, through your chest and to your feet. A lot of your resistance is in your skin, so if you are wet or your skin is punctured, you lose resistance.
There are two types of current, AC and DC. Line voltage AC current changes direction 100 or 120 times per second, depending where you live. This makes it possible for AC current to make your heart fibrillate (stop working properly) more easily than DC, so a short exposure to AC can kill you that way at a lower current than DC. Some people are much more prone to fibrillation than others, so for small to moderate shocks that might stop your heart, some people can take many over the span of their life with little or no ill effect, and other people die from their first significant shock. The only way I'm aware of to find out is to repeatedly shock yourself, which I assure you sucks every time. I've personally had quite a few 120V, one 240V, one 277 and one 347V shock over the years and I'm fine. It's not hard to catch 120 off a miswired light circuit, or if you're an idiot even a properly wired light circuit, or if you work in the industry, it's not always possible to shut down circuits, especially the ones in the same box but not being worked on. The worst 120V shock I've had was from a BX (Armored Cable) whip (cable attached to supply but not yet to load) in a ceiling hatch that someone forgot to temporarily insulate. Because of the small hatch I was firmly grounded in spite of a fiberglass ladder and insulating boots, and I got poked in the back of the head. For the tiny bit of time before my head jerked away I could hear pressure waves from the muscles in my head flexing. Not lethal but very unpleasant, do not recommend. The 240V and 277V shocks were more unpleasant than 120V, but both times I had my arms positioned correctly so when they flexed they pulled me off the circuit. I didn't get locked up as a result and was fine. The 347V shock was small as well, just a momentary poke when an inadequately twisted Marette caused a wire to come free of a splice. Extremely unpleasant, even for less than a second. In addition to being shocked, on occasion I have been energized to these voltages without being shocked. This simply requires electrical rated boots, but it is still strongly to be avoided as a wafer screw you didn't notice stepping on in your boot or some other unexpected factor could connect you to ground.
Current passing through your muscles causes them to flex. DC current is constant and only in one direction and as a result can lock you up (make your muscles flex so you can't let go of an energised object).
So above the currents that might stop your heart, if current is high enough, it will cook you and can cause nerve damage or temporary paralysis. If your lungs are paralyzed, you can't breathe. The 50-100mA that might stop your heart would take forever to cook you, but \$P(Power) = I^2(Current-squared) * R(Resistance)\$ is the formula for power (heating) of a resistive load. Because the current is squared, if the current doubles, the power doubles. At high enough currents, people are sometimes vaporised, but you could also get a horrible burn from a more reasonable current.
From the Wikipedia article on electrical injury:
The graph explains itself well and the Wiki article is worth reading. You can find similar graphs or charts for DC or different frequencies of AC as well.
Ok so separate from the damage done if current actually passes through you, high currents that are low enough not to trip the breaker can produce tremendous amounts of sustained heat and spark as ignition sources for fires. If too long of a screw is used for drywall and a wire is hit, it can short out a circuit inside a piece of wood. I once checked out a case where this happened, and previously when they tried to turn it on the breaker had just tripped. They turned it on to show me and the breaker contacts welded together, so it just hummed like crazy and failed to trip until I manually forced it.
Separate from sustained fault currents, damage can be done in the surge of current before the breaker trips. On a 120V 15A circuit, this can burn a small hole and leave a large scorch mark where a wire touched a box or melt wire stripper holes into the cutting edge of a pair of pliers and make a flash that you'll see for a few minutes. The higher the current rating of the current limiting devices and the slower they trip, the more damage can potentially be done. The more voltage is present the more likely it is that the full amount of damage be done. A shorted 50A 347V connection is enough to blow a large metal box right off a wall. When you flip a large breaker, especially for the first time, you stand beside it instead of in front of it for this reason. A 347V dead short to ground through iron on a 15A circuit can make a fireball about the size of a volleyball in open air in the instant before the circuit shuts off and you have to explain to your boss why suddenly only the emergency lighting in the west rink is on. It'll give you an instant sun tan too.
Finally there are an immense number of dangers due to the nature of electrical components. A capacitor exploding at a moderate voltage could ruin your eyes if you aren't wearing safety glasses. Charged Lithium Ion batteries become firebombs when sufficiently mistreated. Similar to a gas vehicle, an electrical vehicle is a potential firebomb that has been carefully engineered in every way possible to never go off. Mistreated Lead Acid batteries can produce significant amounts of hydrogen sulfide, a poisonous, flammable gas. 250kW of power delivery on the level 3 charger represents the potential of a relatively huge disaster. Careful engineering reduces the probability and magnitude of the eventual real disaster to manageable levels.