The whole car shakes when I drive it, how do I ensure that it's safe?

I feel very unsafe driving this car because at time the breaks just freeze in the middle of use.

We have used this care for years and one day the key got stuck and wouldn't come out. We've tried everything, moving the steering wheel, jumping the car, etc.

Was wanting to know what is the fix for this.please help thks

My battery get disconnected because my lights won't shut off. I put the. Terminal on and usually it starts but niw it won't crank at all I checked all fuses n relays but still nothing. Anti theft light isn't on. Oil press and oil are fine. Just had it changed and starter has never gave me issues before. And I don't have any error messages on my dash either

A yellow light in for of a U is showing up on dashboard

My whole car is shaking (not the steering wheel)only when I accelerating 40- 50 mph. It gets worse if I am going up a hill. If I'm going faster than 50Mph not as bad but, still has a slight vibration.
I've had new tires put on and balance.
Had an alignment done
Replaced the bad driver side wheel bearing and rear shocks.
No srvice lights are on.
Taking it to several different places no one seems to know what the problem is.

I noticed that the rpm starts to wiggle after 3rd gear then stabilize, also the car gains and losses speed with the wiggle of rpm. Anyone knows what's the problem here? What should I do?

MID:$68 TID :$30
Min 5641.7 max 409.7
Current 2891.3

MID:$41 TID:$19
O2 heater monitor bank 1- sensor 1
Min 10544 max 12289
Current 13280

MID:$21 TID:$4d
Catalyst monitor bank 1
Min 4177 mHz max 0 mHz
Current 19744 mHz

Cobalt LT 2008
No check engine light

Almost every time I come up to a stop sign or just simply idling my car will shut off even worse if the ac is on. I have replaced the throttle body and wiring to it and several sensors. It been in the local shop 4 different times and still not fixed I'm left clueless on what the problem could be and help would be appreciated