It all started a couple of days ago. It would take me two or three attempts
> to put the car from park (P) into drive (D). The shift lock is stocked as
> if I wasn't pressing on the break pedal, but of course I was. If I pressed
> the breaks really hard it worked until a few hours ago. In addition the
> break lights are not working, they don't light up when the breaks are > pressed.
Those two functions are intertwined, in that they use the same brake (not break) pedal switch.
Replace the switch. You can do it yourself.