'90 LeBaron electrical problems

I posted something about this a while back. Got some helpful responses,
but interest in the thread died off.
The car started out eating batteries. There were other quirky things
going on also (like this one time where I started it, there was this
really strange high pitched wine, and even when I turned it off, it
only died down, until I think I started it again, and shut it off. Then
it was fine :O ). I changed the alternator - no change. The last time I
touched it I was scoping for codes, then the very next time it wouldn't
start and a code having something to do with faulty fuel injector
circuit was displayed. Needless to say it just won't start now.
What I feel like doing, and I know it sound extreme, is remove all the
wiring harnesses and examine them to see if there's a wiring problem or
a bad fusible link. There isn't that much in the way of wiring in the
car, and it seems the easiest (!) way to determine the problem (for
someone like me with little experience troubleshooting automotive
electrical problems). At least that way I'll know it's either the
starter, alternator, or computer (I guess?). The car was otherwise
reliable and has a good engine and tranny. I changed the water pump and
timing belt a year ago, and I'd hate to see all that work go to waste.
If you're familiar with this car, you'll know what I mean.