The Push Starting Woes need help to fix problem

I have a 95 Gsx, a few months ago this problem started slowly it would start when you pressed the gas pedal to W.O.T. and give it 5 or 10 seconds to start but now it has gotten worse no matter what i do it will not start the engine turns over and trys to start but wont UNLESS you push start it, when you do that it start and runs good Here are somethings i have checked.

Hooked Up Vacuum Gauge- Reads 0hg when cranking
made boost leak detecter- checked and fixed all leaks (just waiting on new seals for throttle shaft)
Hooked up Scanner- only code it has is P0443 which is emission and i have the new part for that
compression checked-good on all cylinders
fuel pressure checked- at 38psi when trying to start
spark checked- good spark all cylinders
Its had a full Tune-up new ngk plugs new magstar wires new pcv valve it has a aem air filter the and the oil was changed last month
It also has a new alternator a new starter and a new battery with new cables

Some Engine Info- the engine was blown when i got the car so i took it to a engine shop that does imports they rebuilt it so now it has Wiseco Pistons Eagle Connecting Rods and did the balance shaft eliminator the engine is about a year old now.

SO CAN ANYONE HELP ME FIND OUT WHY IT WONT START????

Welcome to AF!

Not real sure what to say about your car. Sounds like you have checked everything out. Maybe it could be the ECU.

Wow... That certainly is the strangest problem I have heard in a long time. It doesn't make sense that it won't start unless you push start it. The only thing I can think of is that it could be a problem between your ignition and ECU possibly... Especially since everything else seems to check out ok.

Luckly me i have 2 95 ecus and have tried both.