Do you have any idea why your mother is so gung-ho about you moving forward with your life? What is her motivation there?
As for the invite to lunch, my 0.2 cents on the phrasing is that he wants you to join. I think that's just a "guy" way of phrasing it.. in my experience, that's how they word things. Put it this way, if he *didn't* want you there.. he'd make that clear.
