Position applied for: Investigative. She would make a decent leader but she wouldn't really go for the position without some specific circumstances.
Is your character psychologically fit? Please elaborate: Rose is absolutely psychologically fit. When in a crisis she tends to buckle down, do what needs to be done and freak out about it later. She's very defensive/protective of people regardless of whether she knows them or not. She is intensely curious and follows well, but isn't afraid to step up when she thinks someone is out of line. She will take charge if she feels like she's the best person for the job, but she'd need some very specific circumstances to feel that way. She is incredibly stubborn and very kind hearted. Unless she feels the Doctor is in the wrong, she will always take his side. She can be incredibly selfish and one track minded. Usually it is in regards to the Doctor. She tends to be very selfless when he's not involved.
How much of this would the interview team be able to read?: All of it is fine.
What skills/knowledge/powers/experience does your character possess which would be an asset to the position(s) they are applying for? Rose is a normal human, but she's got a great deal of experience. She traveled with the Doctor for two years. She's met aliens of all kinds, experienced a variety of planets, societies and cultures. She's very tolerant of all these things because of it. She's got a lot of with high pressure, time sensitive situations where the fate of the world hangs in the balance. When she was sealed (keyword sealed) in another dimension, she found a way to jump dimensions, help build a dimensional canon and find the Doctor. An entire UNIT group looked to her for orders in regards to this dimensional canon. All of this was dangerous and none of it should have been possible.
How competent is your character in his/her skill set?: Very competent. She's already investigated/figured her way out of one sealed universe. She also helped the Doctor on a regular basis figure out the mystery/alien of the world/dimension
Would you like to play out the interview?: Not necessarily!
Would you like to play out the skills test?: Not necessary