1) By RAW, yes.
2) I don't believe so, I'm not entirely sure though.
3) I've never found any, just base races. The Master Race/Template list might have something (I don't have a link, hope someone else here does).
4) Does a Factotum get all Knowledges as class skills? If so, that includes Knowledge (Psionics)
5) Not sure which one you're talking about, but if it doesn't say you need to have the weapon in hand/wield the weapon to benefit from the Initiative bonus enhancement, then it should function while the weapon is sheathed as well.
6) No, by RAW you can't, sorry.
7) That's up to Tshern.