savanna 7

so im going to buy an s5 1990 rx7 vert with 122xxx,for 500, no smoking alittle of smoke on start up witch is normal i believe, first question is, the cars starts great cold an idles, next is when i went to drive it it sputter an back fired an was hesitant thru the rpms didnt not want to run rite, doesnt like to start warm i notice the previous owner gave it gas when cranking , does that have something to do with it, flooded maybe ,an i have previously bought a 87 turbo 2 with no motor i want to make this vert a turbo car., whats an easy way 2 check the tps , an how do i know if its the cats or the injectors, or ground or the ecu, thanks for helping me out , the compression is 90 across the board but just doesnt like to run rite, i regrounded it to see it it was the ground an it wasnt., an the idle is up an down, i took the part of the exhuast off where the egr is an it started better, i know this is alot but some kind of direction would help, thanks for reading an the help if you can

savanna 7

sorry guys i hit it twice my bad mods delete please