I don't know about your first one but second is kinda regular for any vehicle with the start stop feature. It's the same even for hybridsI generally don't mind the engine auto shut-off features but there are a few quicks with it:
1) Whenever I slowly drive into my garage (creeping along to squeeze it in right) I find that I'm not actually stopped but go slow enough that the engine turns off - arggg.
2) I find it strange that I can be really stopped, the engine turns off, but then I move the gear selector into park, that starts it up - don't really see the requirement for that - strange.
H'mmmm.