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These guys are pointing you in the right direction.With a fully charged battery try using some jumper cables to go from (+) to you starter and (-) to you engine block. This should let you know if your cables are bad. Like Zieg pointed out, they corode from the inside.
Looks like the starter is weak or the battery needs charged, if you unhooked the torque converter and it still does it then it's not in he tranny.
A low CCA battery/weak and/or corroded (inside the insulation) would also cause this assuming your timing is set correctly.
Is it doing this by hand or from the key? If from key, it could also be a bad switch OR knocked out of time. If it's binding up by hand then you're doing something wrong.
At this point I would try 2 different things, like Zeig said, try to isolate the battery cables themselves to make sure they are good or bad. Then turn it over by hand to make sure it is not something internal with your engine. Keep us posted.
You do not have the ground cable connected to the engine.