1989 Supra Mariah with the Ford pcm 351. Electronic ignition (installed by others). Rebuilt motor with about 360 hours on it.

I've figured out my no spark issue during ignition. However, I still have somewhat of a problem. The motor is very hard to start from cold. Itll fire the first time after pumping the throttle twice, but it runs really rough and sputters. Once the motor is warm though, it'll purr like a kitten and have no problems starting.

My question is, where should I start on getting this "last" issue figured out? I know the previous owner messed with the timing, but that is about it. I should note that it will idle around 1200 rpm while in neutral, and around 600 rpm while in gear. I have yet to diagnose any choke related issues, but I know the plate is open more than the "just a hair" that is usually recommended when cold.