Turn key, click click click, A quick fix??? Options

[Boldylocks]

OK, this is serious -remember- boldylocks is a newbie- yeah I can run a PCR but my knowledge of the auto-mobile is relative to a jackass but you didnt hear that from me. Im calling AAA (and thats not for a substance related dependance) to have the car towed home and would really like to fix the thing myself. So here is the story, I just got back from taking the patent bar for no reason other than to satisfy some OLD PERSONS desire to have me have a 'shingle' over my shoulder -I'm a starving film maker-. The little red 914 managed to get me to LA from San Diego, but...
In the morning I turned the key, got a click, turned it again and the car started.
NEXT, when I was in LA, again, I turned the key, click, and then on the second turn it started.
Made it all the way home, stoped to get a little HEY I'M DONE WITH THE PATENT BAR 'juice' got back in the car, turned the KEY, click, click, no turn over of the engine, click, click....
Is this a quick fix??? Any suggestions for what to look for??? (IMG:style_emoticons/default/idea.gif) starter....voltage regulator...starter..?...fuse....(already checked fuses)...pray to the gods?
Is this something easy???? or Can I look at my mechanics house grow? (IMG:style_emoticons/default/boldblue.gif)

[Boldylocks]

Battery not the problem for sure. Very very strong plus a JUMP doesnt help at all, only makes the battery stronger.
More symptoms: When I do try to start it, if I turn the lights on, they go out when I turn the key. There is an obvious audible clicking inside of the car and from the starter when I turn the key and the lights go out. BUT, the radio continues to run fine and the horn will honk OK.
Ignition switch rusty wires? This might be a good place to start as it seems the initial click sound is coming from inside the car 'its an electronic sounding click like something is 'happening' but not making the car start -which is why I checked for fuse related crap.
Tranny ground strap -OHH MY GOD these things wear such items.?
Where the hell would I find a tranny ground strap?
You sure this isnt a voltage regulater issue?
I had it towed home. It will have to sit in my front yard until I figure this our. Hope to hear more suggestions.
I'll try my other starter tomorrow or else I have to wait until the weekend.
Again, the car will not turn over, just makes audible clicking (not really a CLICK so much as a 'flip' like when you turn on a light switch and nothing happens -click-'.
Hope someone else has some ideas,...
Its not the battery, and I will have to figure out how to check the other things. NOTE: none of this was a problem before I put in the new engine- so I'm not thinking its a rusty-wire related issue.\ but who freakin knows...