I have a 1987 gl ea82. I replaced the alternator, and it ran fine for a while but my tick of death has got worse. now It seems like it is have a hard time starting.

 

Any thoughts ?

Probably just a coincidence. If you ran your car for awhile with a bad alternator it may have taken it's toll on your battery. OR you may have gotten a less than par alternator as a replacement. Do you have a voltmeter? What reading do you get on it?
The ticking, it seems like you've read about it already. Replace that oil pump and put a new gasket and be rid of it!