When driving my lincoln, it has a slight shake. Do you know what that could be

spark knock. use premium fuel and see if it abates

Go to Autozone,they will scan your Jeep for free,takes just a few minutes and they should be able to tell you why that check engine light is on.

Run a leak down test on it.You may have a burnt exhuast valve.

With out more details I would suspect alignment and or uneven tirewear,or perhaps a tire is failing,
let me know if this helps

First you stop driving a vehicle with those issues.

The shaking could be several things. The EGR Valve,if some slamming and banging,type symptoms,especially going up hills.

Loss of power could be the TPS Sensor and a bad COP Ignition Coil.

Very loud --What?

High RPM ,as you already know ,could be the trans slipping. Another in a long list of LS issues. That would be a bad Trans Solenoid Pack.

I have a 2004 LS and had all of them,happen.

You need to pull codes,before you start to troubleshoot thoses items.
I would imagine your driving around with the MIL Light ,light on the dash?

Get codes,give them to me, I'll help you out. Do not drive it, untill it is properly repaired. The LS is a very,very complicated high tech vehicle.

check your plugs to see if they look ugly also check for vaccum leaks

you will need to have the codes read to offer any help,if you go to Autozone they check them for free

I don't know how much oil you had to put in but it sounds like you have maybe more than opne issue and both sound major. One is engine reving and speed not picking up sounds like trans problem. Two the engine shaking and making noise and being run low on oil leans toward possible engine damage. If your mechanicly inclined check all fluids and when checking trans fluid smell it. If it smells burnt the trans has been damaged. Check oil pressure and make sure coolant is full.You may have to take it into the shop.

Hey i just had this same sounding symptoms with my 2000 ls. It turns out that the ignition coils were failing (2,6,8). Just replace all of them. All of them i got on eBay for 150 bucks when the garage quoted me 1100 bucks. Good luck man.

you need to find out what codes have been set
one of your coil packs is going bad.
the code should tell you which one
let us know how you do
later
paul