OK... I'm new at connecting internationally (well, not that experienced).

Booked J Class:

YYZ (AC) - LHR (LX) - ZRH (LX) - BCN

Assuming everything arrives on time, we've got over 2 hours between LHR and ZHR so I'm not worried about that connection. Am I right to assume that our bags will just be forwarded all the way to BCN without me having to collect it any point?

ZRH - BCN is a 45 minute connection. When I arrive in ZHR, is 45 minutes enough for myself and my bags? (Do I have to go through security again? Immigration?)

On the way back, we're going through Geneva but the connection time there is about 90 minutes so I'm not worrying about the way back as much as this 45 minute connection. The booking agent assured me it was ok or they wouldn't allow the booking .... uh sure...