I am a CSA (customer service agent) for ExpressJet in Baton Rouge. I don't know much about Eagle, but I will assume most of the regionals are fairly the same. I work at an out station, so I cannot speak of working at a major hub. I like my job, as it allows me to work around the airport, airplanes, and allows me the opportunity to talk to pilots, and get advice, which is a huge plus. I am also cross trained, and work both the gate, ramp, and ticket counter.
Schedules are based on seniority, as with most any airline job, and so don't expect a weekends off soon, unless there is high turn over at your station. Usually it isn't hard to find people to cover shifts, especially part timers, looking for some overtime.
Keep in mind that this job can truly be stressful, especially when things start going bad - delays, cancellations, etc. I put up with four straight days this past week of going in between 12-2 in the afternoon, and not getting off until nearly 3am each night. This was due to weather causing delays, and cancellations.
I think it is a great job if you desire to become a pilot. Working for the airlines will give you an overall view of the day to day operations of an airline, and will give you the opportunity to make contacts. It also helps working for an airline, as far as getting an interview - internal applicants. But with so much hiring going on now, I'm not so sure it is that much more of a help.
As far as the interview ... I don't know how Eagle does them, but for mine, it was the typical HR type stuff. Tell me about yourself, name a time you worked together with a team to accomplish a goal, etc. It isn't that much of an indepth interview, and certainly probably not comparable to the pilot interview, except maybe the HR stuff.
BUT .. study up on your IFR just incase!
Good Luck!