86 CRX - Died, Won't Start - Fuel Pump?

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? Since I've had it it is had a pretty erratic/bad idle. I heard something about the main relay, but don't know if the 86 CRX has the same problem or what? Any help would be great! Thanks

Quick question... Is it a DX, HF, or an SI. That will help us help you.

When was the last time you filled the car with gas?

Since it's 15 degrees out, you're problem is probably being caused by frozen water in the fuel line. I'd start by adding some fuel treatment to the tank to get any moisture out of it. If that doesn't solve your problem, check out the fuel filter, then the fuel pump.