The first thing that got my attention from your video is number of warning light turned on when you first turn the key to the ignition position.
I might be wrong because your car is a 1997. But in my 2002 it looks more like the photo below when switched to the ignition. Could this be a sign of a bad ignition switch ? It is a common problem on our boxster.
Just guessing here !
Another one to look at is the switch at the clutch pedal !
A duramteric check would certainly tell you more !