It wasn't dumped, they are just making sure at least one of their new shows succeeds. Mr. Sunshine will run its course through February and March and if it does well (which it should, after MF), it will be renewed for September 2011. Cougar Town will be renewed as well, it's been a consistent performer for ABC.
In the 2nd or 3rd episode, Paul called Beth as a "disturbed young woman" and the actress is 35 so not sure how you thought she was in anything else than her 30s. ;-) The virgin thing was kinda implied too.
I guess her mother is Felicia indeed, though she said "come home", implying her mother was indeed at home, instead of in prison.