The full body kit is designed for the RX-7 from 1993 to 2002 models. Your model of the R2 and the kits model of FD3S is the same design only a little different to accommodate for an engine with dual...
It sounds like there is an electrical short in your starting system. The power needed to start your vehicle is not traveling its intended path. This power may also be traveling to a circuit not meant to handle that much...