Car not moving when accelerating

I see a transmission shop in your future.

Is this an auto or manual transmission? If auto, have you checked the fluid (level, odor, color?) If manual, has the clutch ever been replaced?

Did you ever have anyone check out the shaking? Anytime your car starts shaking in the front just get it to a shop asap. Otherwise its like playing Russian roulette.

I’d be hesitant to drive the car anywhere right now as its possible that you have a minor problem that could become a major problem by driving it. (Its also possible that you just have a major problem to begin with). However, if your engine light is still on AND there is a big-box auto parts store nearby AND you could get it there without any unusual revving of the engine, then drive it there and have them read the error codes from the computer. Write down the exact codes, such as “P1234”

Other than that, you just have to have it towed to a trustworthy local shop.