1994 Ford Escort LX - NEED HELP

Hello, it's my first time here, and i'm in great need of your help. I recently bought a used 1994 Ford Escort LX, i had some work done on it, i changed the spark plugs, the oil, air filter, the motor mounts ( these were changed because the car was vibrating heavily) there were some faulty looking tubes (going to the heater) that the mechanic said were have to be replaced soon in order for the heater to work again , but honestly i don't know their names. Now the problem is that a few days ago i hit a sink hole (hard) there was no noticeable damage at first and now the car is behaving weird, first it turns off whenever it wants, i have to move the cables on the battery for it to star again, now what's worse, as i'm driving it feels as if the car is going to turnoff if i don't accelerate making it extremely difficult to drive with my feet over the break and the gas and not to mention having to place the car on neutral while waiting on a light. I dont know if all this makes sense. But honestly i don't know where to begin looking. Some one told me i should check the transmission oil to make sure its ok ( i dont see how this would have anything to dowith the hit of the sink hole ) , but i dont know how to go about it, where do i find it and how do i change it?

I presume you mean that you have to wiggle the battery cables before the car will crank over at all. Having to wiggle the battery cables before it will start again means there is a bad electrical connection - maybe on top of the battery, like a loose battery cable or a corroded connection. Its a fairly common problem. The terminals can be loosened and removed, then cleaned off by scraping gently on the terminal and on the post with an exacto knife to get a clean surface, then putting the cables back on the battery posts and snugging them down. It could also be a bad connection at the fuse box located next to the battery. Open that thing and check the fuses, and make sure they are all seated, and that the relay or relays in there are seated. The problem could also be a bad ground connection, where the negative post of the battery is connected to something that runs to the body of the car, or the engine.
When you hit the bump it is possible some other connector came loose or got cracked. Check and re-seat all connectors you find under the hood. There is an idle air control valve(IAC) , located atop the throttle body. Its job is to regulate the idle speed by allowing a controlled amount of air to go into the intake manifold. If its connector is off, or if it got damaged or stuck - the car might not idle - unless you hold your foot on the gas slightly. Its also possible a vacuum hose came loose from the shock. Look to see if there are any rubber hoses that arent connected to something. There should only be one tube like that, and its the transmission breather hose - it runs down to the top of the tranny.
Thee is a large rubber hose running from the air cleaner to the throttle body. If this hose has even a tiny leak in it, it will drive you nuts with lousy idling. Your transmission oil is NOT causing your current problem, but its still a good idea to check the tranny fluid each week or so - until you know that it isnt leaking. Then you should check it once a month anyway. The tranny dipstick will be on the drivers side of the engine, somewhere. Look for a little plastic handle sticking up from a metal tube. It may be black or could be some color. You check the tranny fluid with the engine idling, and the tranny in park.

Hi Chino_B, and welcome to the forum. As always, excellent advice there from denisond3 - the solution to your problem is almost certainly on that list. The only thing I'd add is to also ensure that the battery casing is firmly secured in its housing, so that it's not free to rattle around when the vehicle is moving. Good luck.