Hi,
I have over 2 years experience with Unity as a programmer. I've worked on a match-3 type game that can be seen in my portfolio. I'm currently working on a 3d jrpg style game, I can send you a small demo if you want.
that you want is very straight forward. A scene that has options for the characters, when selected, that information is passed on to a persistent data holder and then the next scene is loaded. I don't know if you want the characters to show up as sprites or meshes (not sure if the game is 2d or 3d), but I'm assuming you have the assets for whatever you want to show up, I can work with what ever you have.
If you have any questions or want to discuss the project, please feel free to contact me,
Martin