I wouldn't have used the plug tips from the breadboard wires, but that shouldn't be a problem.
I've seen (and produced) worse looking solder joints that worked just fine.
I don't think you got it hot enough to disconnect things inside. The datasheet shows the internal connections:
Use an ohmmeter and check the resistance between the pins. Where the diagram shows a coil, you should measure a very low resistance.
I'd be more concerned about the two connections in the lower left corner. They cross each other and I can't tell if they touch.
That is an RF antenna, but it is 125kHz so it isn't that demanding as far as wiring goes. Long wires aren't good for high frequencies.
I'd be more concerned about the fact you are using breadboard jumper wires. That implies that you will be using a breadboard for your circuitry. Breadboards have capacitance between rows and inductance in the rows. Those can mess with high frequency signals - that might include your 125kHz, might not.
Looking at it closely, I don't quite see what you are doing with all the connections.
Depending on the orientation, either you have wires connected to pins with no internal connection or you have wires connected to just one end of a coil.