2001 Toyota Camry electrical problems

My '01 Camry has had a series of electricall problems lately. The order in which they have occurred is:
1) Doors will lock by themselves. This is a random thing
2) While driving the "door open" dash light comes on as does the interior light. Again this is random.
3) Instument dash lights on Tach side went out.
4) Brake light on dash comes on. Doesn't seem to be a problem with brakes. E brake not on (never used). This started after temps started getting cold (<10F). Again random, comes on and goes out.
5) "Tail light out" dash light comes on although doesn't seem to be any problems with tail lights. Again random.
Car has 110,000 miles on it.
Fuses never have blown with all these problems. Seems to be a short. Could it be that all these problems are related to same short? Anyone ever seen these problems with a Camry? Thanks for the help.

 

One thing I would check is that you have a good ground to firewall strap attached. Good ground connection at battery?
Charging system checked? Did you try banging on top of dash when these lights eluminate, to see if it does anything?