EC145 starting is not by FADEC as stated previously. It is basically like starting an AS350 B2 but it has the throttle on the twist grip and a magnetically held start switch that lets go after about 40% N1. Starting can be challenging at times. Each FCU is slightly different and each aircraft is rigged just a bit different and you have to modulate the throttle to get it going. Normally it is a non-issue and things start just fine but if you have a problem it can beat you up pretty bad trying to figure out exactly what it is. As for starting quickly I don't see it as being any slower than any other twin.
As for the air conditioning it seems to do well even in the high heat areas. In the southern CA desert it gets up to 50 C and the AC still works. Now will it make it cold enough at those temps to hang meat in the cabin? probably not but it will at least make it reasonable enough to survive.
Hope it helps
Max