From your schematic the IC is a Vcc regulator, generating < 5 V from 5V USB power line. THe capacitors are for filtration, to make sure there are no AC transients of the DC voltages. You can use the values in the schematic, or larger. Connecting 10 uF and 0.1 uF in parallel is used to make sure that low-frequency (10 uF) and high-frequency (0.1 uF) AC components are reduced on the DC lines.
If your RF transceivers are specified for 3.6V DC power supply, you can use the 3.6 V battery or the regulator from your schematic, run from USB. Use a DVM to check that 3.6 V is not exceeded.
You do not indicate where the LEDs are connected. If the transceivers are controlled from the USB, internal circuits should connects then when the module transmits or receives. The FAULT indication must be generated in module controller.