Right, I towed the car to the workshop this evening and told the mechanic about the fuel pump rewiring and the remote receiver thing. They will look into it first thing tomorrow.
Another thing, I had left the battery charger in the car this week and when I got home from work late last night, I found the car with the direction indicators on. I pressed the unlock button on the remote and they went off. Anybody recognize this? Is it related to the battery problem as well? I feel like it could have something to do with the RF receiver but I don't know the car very well yet so I wouldn't know. I do know that my fathers house, where my car has been parked at since I bought it, is absolutely riddled with wireless functions for the doorbells and interior lights and whatnot.