Fuel pump issue or security issue?? Help

I know that when I first got the car back I felt like something wasn't right going down the road I would go up a steep hill and it felt like the car was revving at 4000 RPMs or 5000 RPMs and then it would finally shift. I don't understand that what could that be from failing or a faulty fuel pump. Sometimes when I start it and I go to put it in reverse or drive and I still have my foot on the brake I feel like my whole motor is going to jump out of my car. It has never done this before and it specially never did it before I got the timing chain replaced and people keep telling me that the car just wants to go and of course when it is in gear is the only time it makes this vibration noise or it acts like there is a problem. But as soon as its in drive its quite.. Maybe it's all in my head but before I posted on the site and somebody told me it was time to get a new car I don't think so I think it's just time to figure out why the heck Pontiac won't help people or why they won't put out a recall specially on the passlock security issues. I really wish I went to school to be a mechanic because this is ridiculous I have taken it to a GM dealer in not much more they can tell me except my car is fine... no it is not something is obviously going on it won't start. They said bcm looks fine. maybe it's misfiring.. maybe the passlock system is locking me out? could that be the problem and causing my car to stall. Can the security issue be misdiagnosed as fuel pump or am I just losing my mind it probably is my fuel pump but I just want to make sure . It's just weird that the security light only comes on solid when I'm driving down the road it is never done before but it has however done it before trying to start the car and it doesn't allow me to start it and I have to do the 10-minute restart I'm really really really confused someone please help me

Sounds like a motor mount bushing .

Maybe a vaccume line

Maybe fuel module . you described a lot of stuff makes it a wide range answer one symptom at a time then you relate what could also be happening.

My 1999 Grand Am did the same thing, twice! The first time it was the wiring around the ring that holds the fuel pump inside the gas tank. That metal ring thingy. The 2nd time it was the fuel pump fuse. Security & battery warning lights will throw u 4 a loop though.