Best place for a beer is Belgian cafe at Intercon! The hottest and most popular one as of today.
As for the rest of questions... most of accommodations, banks, Internet and TV packages providers... all of them same cr*p.
For 10000 you cannot get really decent villa.. Gharaffa isn't the best place in Doha, that's why it's cheap. Decent villas start from 14-16K.