1.) Do aircrews fly with the same crew for the majority of the time? (same pilot and WSO as a crew)
To piggyback on Flash's response, my squadron's flight schedule was more or less completely random when not flying combat ops. They had to shuffle things up regularly, as a function of crew rest, who was on duty or had meetings, who needed what upgrade or currency, and everything else that went into that house of cards they had to build every day. In OEF, we had combat crews, again, to simplify the schedule writing. A crew would cyclically rotate through day go, day spare, night go, night spare, and night off. Not necessarily in that order; I can't remember the exact ideal order they were striving for.
In all cases, junior pilots would always start out getting scheduled with a more senior ECMO1 in the right seat, and vice versa for junior ECMOs when they flew front seat flights. The good deal all-JO flight was usually reserved for more senior JOs, though a nugget might get to go up after a while with a "known quantity" crew of the more trusted senior JOs.
5.) Can the EWOs in the EA-6 fire the anti-radiation missiles?
No. All ECMOs have some capability to assign a target from their station. ECMO1 has the Master Arm switch, and is responsible for sending data from the jet to the missile. Pilot puts the jet in the right piece of sky at correct altitude/airspeed and pulls the trigger, which is the only means to get a missile off the rail. HARM in the Prowler is a crew-served weapon.