Strange window and alarm behavior

[gjansen]

Hi I'm trying to figure out where to look first before ripping into things.

Here are the problems 2004 Boxster:

1. Windows go down 1 " when the door is opened, but then go right back up when you let go of the door handle (doesn't wait for the door to close).

2. Top light on dash is always on when the top is up. I can press the switch where the top clamps above the rear view mirror with my finger, but the light still doesn't shut off. When I open the top latch from the closed position the windows drop as they should.

3. When I open the drivers door, the interior and door lights go on as they should. When I open the passenger door, nothing. No lights go on.

4. Weird behavior for automatic door locks. The light on the button is frequently on,
sometimes when I start driving I get the "beep beep" from the horn, usually when I lock or unlock the carr I get the double beep too.

ANY CLUES WHERE TO START LOOKING?