Electrical Gremlins.
 

Hi all,
we've had our Mazda6 TS diesel for over 2 years now, she is now up to 90000 miles (126000km), and has had a couple of electrical issues lately.
1. the electrical windows sometimes dont work from the drivers door 4 button controller. but not all at once, at the moment its all but drivers window that doenst work. they still work from there individual switches in the door concerned.
2. 3 times now the car hasnt started on key turn, and the dials have all rushed to max, then back again. I have just read online that this could be battery related, but is it really that simple, my battery is dying?

Are the 2 issues linked? Obviously a duff battery could cause all sorts of electrical issues so thats fine. but has anyone experienced anything else along these lines?
cheers,
marty.