Battery, Wiper and Power Door Locks Problem

Hi All,

Last winter (Dec '05) - I was out of station and my camry's (96 LE 4
cyl auto) battery died on me (i was out on a vacation for 3 weeks). I
had AAA replace my battery when i came back.

Since then, my power door locks seem to be in a world of their own.
They keep locking and unlocking themselves once the vehicle starts at
no-predictable triggers.

When i tried to observe some patterns, it seemed it was related to the
gear-change - but was not consistent enough.

Now on a recent long drive, i had to keep the wipers running through
the length of the drive (6 hours) - and the door-unlock/lock event
seemed to be triggered by the to-fro motion of the wiper. The faster
the wiper interval, the worse it got !

I have never had such problems before the battery was changed. I called
in AAA yet again, and they confirmed all the battery connections are
done right.

A local dealer wants a 120$/hr (for as many hours) - to determine the
problem and non-toyota dealers don't deal with this apparently !

Is there any connection between battery change and door locks, and
between wipers, door locks ?

Thanks for any pointers !