NRF24 communication problem

RX and TX LEDs are for hardware serial only. They have nothing to do with the RF24 modules.

I suggest that you run the CheckConnection.ino sketch that can be founnd in Robin2's simple rf24 tutorial reply #30 on each radio. The sketch will test the connection between the RF24 radio modules and their connected Arduino board. Also try the sample code that is in the tutorial. That code has been proven good many times.

@gilshultz , it appears that the OP is using some of the power adapters that take 5V and have a regulator to drop that to 3.3V for the radios. I use similar adapters with good success. I await confirmation from the OP.