Raw pin is for higher voltages (6-12V), apply 5v to vcc instead.
What library are you using for the nrf24? The best one I found was the 'tmrh' library, it has many enhancements.
If I were you, I'd get the ping pong working first with no attachments, then add things one at a time until it fails and go from there.
At each stage measure the voltage on the promini and the nrf just to be sure what is happening.....Little steps, but better then going round in circles...... This way you have a path to follow until you hit the problem.
Also, check the wiring. Is there a good ground from the promini to the radio (and the linear regulator)?