I have only been through Malaga, did start to look at spending a couple nights there, but opted for Nerja and 4 nights to end the trip, not an option in your case. I just never warmed to the idea of staying near an airport, always stay in town and enjoy a last night out, but I also avoid very early morning flights like the plague (or covid). I really have nothing specific, but a couple observations:
The good news is, the airport is almost in town, so you could stay almost anywhere and you are a 20 minute drive to the airport from central Malaga, a bit more if you stay further East on the coast. I usually go through, or at least start my hotel search on Booking.com, looks to be lots of reasonably priced rooms for early December available. For food, my interest was mainly Tapas, I turned up a number of places to add to a list...My short list was El Pimpi, La Tranca, and Casa Lola. Of course not having been able to go to them, I can't highly recommend, but they looked worth a try. For a bigger meal, you have lots of seafood options, Rice restaurants, Traditional Andalusian, and I suppose ex-pat Brit places. The only advice I have is maybe plan your larger meal for 1-2 in the afternoon (as the locals would) and maybe do tapas in the evening. If the afternoon is packed with sights, you can flip it, being on the coast and lots of Brits around, there will be lots of early dining options, many more if you can wait until 8 or 9 PM.