There was comment from salmonetin, but then he deleted it. He provided several links. One of them gave me solution for the first issue - just add 100k resistor between DIM+ and DIM-. So, the first problem is solved. Thank you, salmonetin 
Anyway, second problem is still here. Is it only my driver, which takes 2 seconds to turn off when you short circuit DIM+ to DIM-? Or it is common behavior?

Anyway, second problem is still here. Is it only my driver, which takes 2 seconds to turn off when you short circuit DIM+ to DIM-? Or it is common behavior?