I recently bought a E34 525i Touring.

It's a car with a bit attention.

But the following problem I can't figure out.

The central locking is working fine, except that the left rear door doesn't work on the central locking.
The double lock is not working.
And the double sunroof is also not working. If I push the button to close, you hear the motor and you see the front sunroof move a very little bit. but if you push to open, you don't hear anything.

Is this al related to each other?
Does the central lock nog work, if 1 door doesn't work with the central locking?

Greetz.