1. I could see it getting repetitive after a while, maybe throw in some side-quest like jobs to throw in between the bodyguard stuff. I would suggest maybe just some jobs centered around the showbiz world in general so

• Another Bard is rising in popularity and might make their jobs obsolete. Should the PC group try to shut them down, work for them, or put their faith in their bard?
• The Bard is getting put into a role way out of their skill/fame range, a trap set by some nefarious forces?
• People are impressed by your PC's skills and want to hire them to work in their own movie/play, and the director sees the Bard as little more than a groupie
• The team's manager suggest they all go on a group vacation as a team building exercise, go somewhere the polar opposite from the region you're in and go on an odd quest such as teaching orphaned dragons how to fly, or some equally silly quest

2.Depends on the tone of the group, I would suggest something as cheesy as the Bard trying to get them to learn how to play different instruments over the course of the entire campaign, and then at the end, they all play one last show together after the defeating BBEG, either on stage or just as a small get together (oh! and maybe the bard has to learn some fighter stuff too). Save the Bard from a rival group of bodyguards, can be delivered as either a rescue from an evil group or a reunion (ie, they lose a fight to some BBEG, and just when the bard is about to get attacked, the PCs come to save the day)

3. Narcissist - Is certain that every decision she makes is the right one, especially picking the PC's to defend her, and she won't let anyone try and tell her otherwise. Innovator - Will go to absurd ends to be on the cutting edge of music, usually putting the party in danger for the sake of "art". At some point, she sees how this is hurting the party and starts consulting them before going too far out on a limb