Character Name: Yuri Lowell
Character Canon: Tales of Vesperia
Is your character a telepath, or do they have mental barriers they can put up? Nope.
Can Rui read segments of your character's past if she touches them? Sure, go for it.
If yes to the above, what would she see? The First Strike movie ... actually, that isn't far off. His time in the Knights, more than likely. Maybe his fall from Zaude too, given how long he's been in Luceti.
Rui can also see into the future. Would you allow this if you have something planned for your character? Fine by me.

Character Name: Jacqli
Character Canon: Ar Tonelico II: Melody of Metafalica
Is your character a telepath, or do they have mental barriers they can put up? She does, but they're only seen in her cosmosphere. Even if that's a huge part of Jacqli's psyche, Rui's abilities should override it (mostly because she wouldn't be entering the cosmosphere at all), though she will have a fair amount of resistance.
Can Rui read segments of your character's past if she touches them? Go right ahead.
If yes to the above, what would she see? It'd take way too long to explain, so there's this (http://www.youtube.com/watch?v=4D5OGxwybSE#t=33s). From there to 4:42 gives the full idea. Of course, it contains some pretty massive spoilers. But. Yeah |D;
Rui can also see into the future. Would you allow this if you have something planned for your character? Sure.