Thanks guys, just got back from HD with what we hope will fix this up. The threads inside those T's are completely shot, and we cant get the T busted off so we got a compression fitting for the bottom pipe, bought all new pvc tees and stuff and a new trap. Fortunately the pipe up through the floor is still behind an open wall so we are going to cut that and tap into that above the floor. I'm probably not explaining it right but it all makes sense when I see the pieces together.
Gary, That strange thing, are you talking about the trap?
Mark, thanks for the tip about the glass (actually plastic I think) and the gunk. Would not have thought of that and woulda had gunk everywhere! Fortunately its the basement and the floor is cement!
Will come back later to let you know if we succeeded or if we need more help. You guys are the best. I just might get to take a bath in my new tub tomorrow after all! (carefully of course, cuz we sure arent going to have time to get the tile on!)