No engine light

Vibration while braking usually points towards warped rotors which you will probably have to replace along with pads at the same time. As far as engine performance, you probably want to get a full tune-up. A good tune-up consists of spark plugs, wires(when applicable), induction cleaning service, and a new fuel filter.

Cycle your key on (not start) then off, on, off, then on and leave it on. Now count the flashes from the "check engine light" and get back to us with those codes. It will flash a 2 digit number, but pause briefly between numbers. For example: 3 flashes,pause, then 3 more flashes is code 33. 1 flash, pause , then 5 more would be code 15. When you get 5 flashes, pause, then 5 more, that's code 55 and it just means end of message or codes. You'll also get a short pause between codes as well, so have a pad and paper ready and keep your eyes on the check engine light.

Check the air filter If it's dirty replace it. and replace the fuel filter

Possibly, but other things can cause the same symptoms. If the check engine light is on, a scanner read of the computer will give you better clues that 'hip shooting' parts replacement can do. Possible things to look for--weak fuel pump, plugged fuel filter, water in the fuel, spark plugs and wiring, O2 sensor, and the list goes on.

sounds like the coil pack is failing or you could just have water in your fuel.... buy a couple bottles of gas line antifreeze (it sucks up water) and add them to your tank when you fill up.... if that doesn't fix it it is likely the coil pack

Check fuel pressure,and filter,pump could be faulty also check fuel pump relay.

before you get into serious troubleshooting with your wallet i would suspect either a clogged fuel filter or a plugged catylitic converter.

Robert

this maybe caused by no fuel or faulty fuel pump, ignition coil, wire and plug crank position sensor. first check for spark by removing on spark plug wire and put a spark plug in the spark plug wire boot, donot touch the plug only the boot have someone crank the car over. if you see spark, that part of the ignition is good. if not, check the coil resistance if should 40 to 80 ohm with a volt meter pf not replace. if ok, but no spark check the igniton control madule make sure the coil and module are receiving current. if not check the fuse that feels them. if it is ok, check distributor cap and rotor. if rotor and cap are fine, check for fuel at either the fuel filter, the fuel return line or removing some spark plug and see if they are wet. if there is no fuel check the fuel pump and the fuse and relay that control the pump. if there is fuel with high pressure but there is no spark, check the crank sensor for signal with a volt meter while cranking the vehicle

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had a problem with a grand prix like that once, was the fuel filter, and injectors, all needed replaced, and it only had 89,000 miles.
Would check fuel filter first. Is it possible you got some bad gas??