Had to renew the socket for the LH headlight as it was broken and partly melted.
From new the headlights (+front parking lights + tail lights + numberplate lights)turn on when engine is started.
After the repair, the LH front parking light does not work.
However it works when you turn on parking light manually.
Is it the GEM controlling this and did I burn it?

 

more than likely have damaged the bulb/holder/wiring if the other lights are working, unlikely to be anything to do with gem unit

 

Nothing should be broken as I can turn parking lights on manually.
So there must be an additional connection somewhere.