I think I have to give you a sort of story to make you fully understand my question. So here goes:

So I go out to my car and start it. She starts normally. I go in the store so I shut it off for a half hour or so. I go back, and she starts noticeably rougher. I go to another store and go to start her again about a half hour later. She turns over, then immediately dies after reaching idle. So I try again and the same happens: she dies immediately after reaching idle. So I try again, this time working the gas, giving it enough fuel to keep the rpms above idle. After revving for a couple seconds, I let off the gas and she dies immediately. I try a fourth time, working the gas and easing off the pedal slowly. This time, she is able to stay alive but I can smell something burning. I've had this issue every time I try to start her any more than 2 times per hour. I'm thinking its a bad starter, but at the same time I think it could be the Fuel Injector or the gas lines. Any help would be much appreciated! Thanks!