The following is a circuit I have tried simulating on multisim. The LED on the transmitter part does not light up. The current is 0 through that LED. Is it legitimate?
The LED probably doesn't illuminate because there is virtually no voltage across it (both ends at about 30V) but that's not the main problem.
The transmitter schematic shows you are applying almost Vgs=30V to the gate of a FET with Vgs absolute maximum of +/- 20V.
You almost certainly need to replace the FETs, as well as rethink the gate drives to the circuit.
A typical LED has a forward voltage drop of about 2V for normal operation, which leaves around 28V (30-2) on the R1,R2 resistors, which gives 28/(1K+10K) = 2.5mA current flow, which is not enough for typical LED for normal operation. Check your LED parameters, and match the resistors accordingly.