Hello Jarg. Welcome to NICOclub. and the M forum.
Clarify this for me. These days you can push the pedal far enough to get the car to start but the brakes won't release? Are you saying that the brake pedal will not come back up, or it comes back up but the car still won't move because the pads are grabbing?
If disconnecting the vac hose gets you going, then it's looking like a bad booster to me.
A master cylinder issue seems to be more likely to be evidenced by a squishy pedal. Example -
post6756577.html?hilit=master%20cylinder#p6756577