I am having a similar issue. I solved the door issue and the low washer fluid and the dash chimes are gone but now it makes a loud high pitched beep at random times coming from somewhere else (outside or engine bay most likely???) It almost sounds like part of an alarm system, unfortunately I am not that familiar with this vehicle yet.
I did pull the battery and the battery holder out to fix a broken washer fluid line and there was a box mounted behind the battery to the battery holder (not sure what it is, looks like a vacuum line going to it. It started right after this fix.
Any ideas are appreciated.
Sorry, if your having the dash chimes then i did not mean to hijack your thread.