1997 Buick Park Eletrical Problem

Alright so, I got out of class at college the other day, went out to start my car unlocked with the power remote put the key in the ignition and tried to start it it started to want to start but than didn't. I tried and tried, put the car in neutral and let it roll back a bit thinking starter was off. still nothing. It has a new alternator, its seccond battery, and nothing i know of is shorting out. (sept the fuel sending unit wich is a whole nother book of worms) any way had a bud come up and jump it, we got the batterys connected and bing started right up, he didnt have to even start his car. as soon as the cables touched my car lights went on door chime went off and all was going. What would be this problem. Also side note not knowing if this has anything to do with it but last night on the way home the right turn signal woulnt go on. the hazzard bulbs all work the left turn signlas work just no the right ones, i can here the click saying "hey i want to flash" (not literal) but nothing. Eletrical Problem?

I just had the whole positive connector come out of my 3 year old battery (Delco). The car was a little slow cranking last week but still had the green eye. Leaked acid all over the cable and battery box.

You may have a bad battery or a battery draw, in other words, something is staying alive when the car is shut down draining the battery. One way of checking the drain is to connect a test light in series with the negative side of the battery. Then disconnect the alternator and pull each and every fuse, one at a time while watching the test light.When the test light goes out, that particular fuse and circuit is the culprit. Find the problen and repair.
All the Best.

Alright, will have to put that on a to-do list