There is not a requirement for lights on an airplane unless you fly at night. Such an airplane would be restricted to day/VFR
There is not a requirement to operate lights on an airplane so equiped with them, unless night flight is to be undertaken. (VFR)
The anti-collision light (beacon, strobe, rotating beacon) must operate at a frequency no less than 40 CPM (cycles per minute) and no greater than 100 CPM for single light operation. (IFR/night VFR)

McDanial and Ram both make lights (and complete light kits) for RC airplanes.

Oh, and the anti-collision light can be red or white...

I hope this helps