Both of these Hyatt Places have relatively large breakfast buffets. They're not great quality-wise, but they have some local hot and cold specialties, fruit, pastries, cold cuts, egg station, etc. Both also have pools, and Jumeirah has a pool bar. Correct that upgrades won't provide anything. I am not even sure if they have suites. I have never been provided one in probably over 20 stays as Globalist. Jumeirah has a few "pool view" rooms on the lowest floor with balconies, though no table or chair on the balcony (at least in summer; possible that they put something out in milder weather).

The Wasl District is in Deira. "Old Dubai" consists of Deira (the north side) and Bur Dubai (the south side). They are divided by Dubai Creek, which offers lots of boats, ranging from "taxis" costing a couple dirhams taking you between a handful of stops on each side to private charters costing not much more and which can take you on longer customized tours. This is an activity that I would recommend. Both sides are fairly large but walkable in December. For example, you could walk from the Hyatt Place through the Gold Souk and take a boat to Al Seef on the Bur Dubai side (which is the location of the Al Seef Heritage Hotel I mentioned earlier).

There are lots of South Asian restaurants from all regions, plus plenty of African, Filipino, Chinese, Arabic, and other restaurants, many of which are delicious. Ravi is a famous Pakistani chain with good food, and I like Calicut Notebook, a restaurant featuring Kerala cuisine.