With the remote control crashing the keyboard, I can't reproduce that issue. Can you enable full error messages in Media Center so that I can see what is going on? To do that, open up regedit and under HKEY_CURRENT_USER\Software\Microsoft\Windows\CurrentVersion\Media Center\Settings\Extensibility add a DWORD key EnableErrorDetails and set the value to "1". Windows Media Center will then add a Details button to the Error dialog box with a stack trace of what's wrong. Take a screenshot of that error message and post it here.
With the tracks skipping, the way that Spotify works is that it only plays one track at a time when a call is made externally. That means that I need to wait the track length and then play the next track. If you have tracks showing up as 0:00 length, it will jump on to the next one straight away. I haven't seen any tracks of 0 length though. Can you tell me what band and album you chose so that I can try to reproduce?