headlight and turn signal problem

[Tom]

Im having a problem with my passenger side headlight. It started a couple weeks ago when my drivers side turn signal indicator came and stayed on with the headlights on. It only goes off when the left turn signal is engadged, then it acts normal. I found my drivers side turn signal bulb out, so I replaced it. This made the drivers side indicator turn off back to normal, but then the passenger side one came and stayed on. Again, same as drivers side, I found the bulb out. I replaced it, but the passenger side indicator is still on. Also, my passenger side headlight is hardly putting any light out at all. I put a new one in, no change. I checked all the wiring by the headlights, everything looks ok. Any ideas on what could be wrong?