wont crank

i have an 1997 ford probe gt. its an 5 speed. one day i was driving it and i parked it. when i went back to crank it up the head light started goin up and down by it self. when i try to crank the car it wouldnt do anything. so i relpaced the started and it still wont make any noise. it wont turn over or do nothing. but i can push start it with no problem.do anyone know what that can be? that happen about 2 weeks after i had an transmission put in it.

Check all the wiring for damage.
Check the ignition switch.
Check the starter relay.

The start relays are good. i couldnt find any damage wires. so what would cause the head light to go up and down even with the car switch off. the needle says my car be running hot but it doesnt. the fans be on but it doesnt even be hot. wat could that be?

You are going to need a wiring diagram and a test light or meter. Make an enlarged copy of the diagram and highlight all the affected circuits, looking for a common point of failure.
Make sure the engine to body ground strap is connected.

ok so i pushed start my car today and i try to drive it but it wont move. it goes through all the gears fine. i put it in first gear and it moves just an little bit. so i give if gas to see if i would move any faster but it dont. so it moves real slow. no matter how much gas i gives it it still moves just an little bit. does that sounds like the clutch could be bad in it?

alternator maybe? because it affects the sparkplugs so low electricity = low power in the motor

the alternator is putting out 13 volts. its as if the clutch is not realeseing all the way. it moving about 2mph. if dat

Take it back to the shop that did the work. Did they put a new clutch in when replacing the transmission?