For powering NRF24L01+PA+LNA I use this power adapter board and I connected it to 5v adaptor (not powering with pro mini board ,I United the grounds of arduino and nrf )
Wireless problems can be very difficult to debug so get the wireless part working on its own before you start adding any other features.
The examples are as simple as I could make them and they have worked for other Forum members. If you get stuck it will be easier to help with code that I am familiar with. Start by getting the first example to work
There is also a connection test program to check that the Arduino can talk to the nRF24 it is connected to.
A common problem with nRF24 modules is insufficient 3.3v current from the Arduino 3.3v pin. The high-power nRF24s (with the external antenna) will definitely need an external power supply. At least for testing try powering the nRF24 with a pair of AA alkaline cells (3v) with the battery GND connected to the Arduino GND.
I don't have any personal experience with the high-power nRF24 modules (with the external antenna). It may be that the power adapter cannot provide enough current. Try testing with the pair of alkaline cells. Also I believe that you need a considerable distance between the high-power modules so that they don't overwhelm the receiver. I suggest keeping them at least 3 metres apart.