Feel free to PM me if you have a specific question.
If you end up staying near south Congress, you may try Continental Club for music (more "Texas" style music there which I would call more Rockabilly and Blues I guess). Broken Spoke is pure country with two steppin dance lessons most nights at 8 pm. And they do serve food - chicken fried steak is their specialty.
We've had friends enjoy the Omni downtown if you want to be in a traditional hotel with usual amenities. Downtown is not far from South Congress. Speaking of S. Congress, parking can be a challenge but if you end up in a hotel there you can likely leave your car parked.
The Capitol building is pretty impressive and worth seeing - esp. the "underground" part that doesn't feel like it's underground. The Lady Bird Lake hike and bike trail and Barton Springs are definitely worth checking out. Deep Eddy is kind of neat to see and you may want to have breakfast or lunch at The Magnolia Cafe on Lake Austin Blvd. near there (inexpensive). If you don't mind the crowd Stubb's BBQ is usually on people's list of places to go to eat and hear live music.
Everyone has their favorites of course but if you like Mexican then you may want to try
Fonda San Miguel for dinner (make reservations or go on an off time) or if you get to the east of the south side, a very casual Curra's Grill was always dependable (I still make some of their sauces).
I would steer clear of Sixth Street - and would not stay in a hotel near the area (personally) so I won't recommend the historic Driskell (very popular bus stop hangouts on that corner). Maybe I'm just getting old but it just never felt safe or very clean to me. I also would steer clear of the University area (as far as hotels I mean).