Clean the terminals with a wire brush.....and wipe off the residue when you are done...just don't get to close and breath in...it's brutal...lol
Also, check all of your fuses in the fuse box near the battery....My car was funky when I first purchased it with electrical problems...turned out I had to replace the fuseable link...that's the U-shaped wire about 2" long near the fuses under the box cover. Also check to see if the fuses are blown.
P.S. California is cool....I'm leaving to come home tonight, but I'm near Malibu by the mountains and the ocean!