I'm an idiot! Distributor?

Ok, so here's my last post:

Hi guys, I have an 86 CRX that is having problems. There have been a few times recently when starting took longer than usual because it seemed to be getting some gas, but not much at all. But after about 15 seconds it will finally get enough and start up. Then, about 2 days ago, I got in the car, started it up but it died ( this happens alot as the car won't stay running unless I give it gas after just starting up) But, then it wouldn't restart, just turn over, but didn't sound like it was getting gas. I went back the next morning when it was about 15 degrees out and it started right up. Drove it all day today, then went and got in it tonight, it started, I took off and after about 2 blocks, I could tell something was weird while shifting, it stopped getting gas and died again. I waited a few hours and it still won't start. Could it be the fuel pump? I heard something about the main relay, but don't know if the 86 CRX has the same problem or what?

So, first off, I decide to take it to the shop and tell him it might be the main relay and I look like an idiot because its a carbureted engine. But, I haven't done any work on this car, paid 800 bucks for it and just didn't even pay attention. The guy says its the distributor he thinks. A couple of days goes by and he gets two wrong distributors. So he replaces the fuel filters, cap and rotor, plugs and says it should be ok. It ran fine for two days then died again. It started back up after a little while though. Odd thing is that I drove it an hour each way to work for two days and it was fine. But, it seems to be after a go to the gym, start it up when its very cold out and let it die because not giving it enough gas that it seems to die.

So, does this sound like the distributor?

I would try the fuel pump. a lot of times when the fuel pump is starting to go bad it does this. the best way to tell if it is your fuel pump is to build pressure. to do this, simply turn over the key ( not all the way, but just enough for everything to come on except fully cranking it) and turn the key back towards you. do this 3 times to build pressure, and you should be able to hear the fuel pump engaging as you do this. once you have done this three times completely go ahead and crank the car to see if it cranks. a sign of the fuel pump going bad is when the car does crank, it idles real rough and sounds like it is about to cut off...do not pat the gas if this happens. just simply let the engine try to build pressure on its own and it will sound bad but that is also a sign that your fuel pump is going. i would also check the fuel pressure regulator as well.