Duffed Dub

I knew the car had a misfire when i bought it. i walked out today to mess with it. now with a fresh battery early in the morning the car started and ran fine. i drove it around and once it got to the lower end of the normal running temp did a few 1-2 pulls and the car was great. hit boost well, no stumbling. nothing. until about 10 minutes after it got to running temp. it started getting a slight misfire around 2k rpm but cleared up past 2500. which progressed into the car idling rough and if i touched the gas pedal it would just spit and pop and never make it past 1k rpm. i red that it could be the ECU coolant temp sender. was able to track one down and swap it but had the same issue, checked the alternator and i was getting 13.2 volts. low but still charging so i hooked up jumper cables from another running car and same issue. i also noticed at this point im not getting any aux power to the cluster, power windows, sunroof, or even heat blower. but while i was sitting in the car bashing my head into the steering where i saw the cluster had power. which immediately was lost as soon as i tried to start the car. it still starts when hot, just idles rough and wont go past 1k. if i park it overnight i get to do the same thing all over again. runs fine cold and then a few minutes past running temp it sinks faster then the titanic.

i tried to ask for help on a local s chassis page and they told me it was a boost leak.

any ideas? this is my first Japanese car. im coming from my VW cult.