To expand on some of the questions / answers:
Taxi and park? - As answered, yes if it is your sector but LHS will park.
Order the Fuel as he think? - an FO will usually get to suggest a fuel number but it isn't always the case depending on who you fly with. Cap has final say.
brief the Cabin - Normally done by the Captain.
fly visuals - sure, but we have some limitations. Min 1500 AAL / 500 AGL until on final approach for example. Should be briefed in advance.
fly FD OFF takeoffs - Never apart from in the sim / dictated by the MEL.
fly raw data approaches without bird - Yes and MT, when appropriate. It should be briefed in advance so PM knows how and what they are monitoring.
talk to Network ops and maintenance ops? - Usually the Captain. Depends on the colleague and how close they are to command / experience level.
Not sure how AB does it, but your crosswind limit in RHS will be 20kts regardless of SO / FO / SFO.
U2 is a very SOP based airline and they expect you to follow them.
I'm Berlin based, feel free to get in touch via PM.