smoke and not wanting to start up

So i recently purchased a 1995 toyota camry 6 cylinder XLE a few months ago and since I bought it, the first
startup every morning has spit out a cloud of thick smoke. Also, there is a chirping sound under the hood by the
passenger side. Startup has always been pretty good, it rides pretty smooth. Once a month it wouldn't even try
to turn over. I would hear a click and that was it. then I would have to wait a few minutes then start it up. Today I
went to go start it and I heard a click, I waited a few minutes and nothing when I tried it again. After about 15
minutes I was able to start it up again and it was pretty rough for a few seconds and LOTS of smoke came out
the back. I turned it off after about a minute, and then i tried it again and wasn't. I think there is an engine coolant
leak because 2 weeks ago it was full and now it's empty again. Oil levels are good although i'm almost at 3000
miles since the last oil change. Ideas on how to get it to start up?