Wanted to go with my sister (Auburn Grad) but will not be able to make it. Have been to Auburn plenty of times for football games however. Sucks the students won't be on campus for the game, but here's my suggestions on food/drink:
If you're staying overnight- try to get a room at the Auburn Hotel. It's right next to campus and the downtown area and is the perfect place to stay near campus.
For food- would suggest Hamiltons, Moes BBQ, or The Hound. The Hound is probably the best place in Auburn to eat but its slightly out of the way of the main area. Taco Mama is really good as well.
The arena is nice. Built fairly recently and is near the football stadium so you can check out the statues outside there before heading to Auburn Arena. Not a bad seat in the house.
For drink- Go to 1716. Sky Bar is the Auburn version of Huskies if you can handle that (Honestly its Huskies on steroids. Like 4-5 stories tall and a rooftop bar, each floor has a different vibe. Its pretty nuts). If you choose to not go to 1716 then Auburn Draft House isn't a bad option either. I spent most of my time between 1716 (before games) and Sky Bar (after games) though.
Lastly, you have to go to Toomers Drug Store and get the lemonade. Its the Auburn staple. Its also right across the street from the trees they roll after every football win.
If anyone is going and has any other questions/inquiries regarding Auburn or the surrounding area feel free to send me a DM or ask in here. Happy to help.