Priceline's method for determining a "star level" is strictly by offered amenities. Refrigerator and free wi-fi aren't on the list. Unfortunately, free wi-fi is only found at the
low-end properties -- Hiltons, Marriots, Hyatts, etc., all charge. You said "5" but Priceline classifies this as a 4* property. They don't offer any 5*s in San Antonio.
4 Star hotels will have the following amenities:
Remote Control TV with Premium Channels
Telephone with Voicemail
Radio Alarm Clock
Iron and Ironing Board
Hairdryer
Business Services
24 Hour Front Desk
Full Service Restaurant
Room Service
Bellman
Concierge
Fitness Center Access
If there was anything missing from that list, you can challenge them on that point.
The hotel was within the area you bid on, so you don't have a claim there. You have to be prepared to accept any hotel in the zone on the map.
If the property itself was subpar, you should talk to the hotel manager or Marriott.