My 87 rx7 sport has some problems and I need help on how I can fix them.

1. The drivers side door lock doesnt open/close with key.
2. The cigarett lighter plug in doesnt work, even when you plug something electronic in.
3. The clock still doesnt work after I took it out and resoldered every connection I could see.
4. Today I put a cone filter on and the hose that goes to the air pump is just hanging there. Is that fine that it isnt getting clean air, or should I plug it so it doesnt suck any air?

I also have just a general question. When I corner hard, do I let off the gas and cruise in the corner or do I give it a lot of gas? Today I did a 180 on the road(dry), because I was going fast and on a turn I floored it.

 

put a filter on the air pump hose