When i hit the gas the truck shakes

the smoke came from the spilled oil leaking onto a hot surface ( manifold) No problem there. The oil light coming on was probably from the oil surging away from the oil pickup in the sump momentarily allowed the oil pump to suck air hence a drop in oil pressure. To have all that happen, the hit on the curd was substantial. so I thinking bent axle flange and broken engine mounts could explain vibrations and engine shaking

correct thinking
the car has an onboard code reporting system that stores fault codes
have the fault codes read and that will point you to the fault area
all the suggested are not correct because you say that it idles
i'm thinking a faulty brake booster or other serious vacuum leak

front end linement.

check the input and output speed sensors for failure,or of different voltages,and or replace both of them at the same time.

doesn't sound like transmission fluid in my experience if transmission fluid is low your gears will slip or not work at all, sound to me your spark plugs or bad gas or something in that order.

your car laggs when you hit the gas because your transmission might be low and the gears are slipping. you should do a full tune up ( oil change, sparkplugs, etc.) that should solve the problem

The problem is in the transmission Overdrive gears. You need to have the transmission checked and probably serviced. It may be a simple adjustment or Fluid and Filter change. I do not recommend you all them to use a synthetic replacement however as most of the time I have seen this done the transmission burns within about 6 months.

Your transmission is dying.

Sounds like a transmission problem. Possible torque converter clutch issue,means replace the transmission.

I know that the PT's, Neon's and Stratus's shake when in gear at a stop. It maybe possible that its time for a tune up aka Spark plugs and Plug wires.