Good deal that everyone is mostly on the same page!
Your pond definitely looks shallow in the aerial view. Stable, shallow water is certainly good enough to support most of the mammals, birds, and amphibians in your area.
Are you a duck hunter? It might be possible to make the small pond in the upper right a duck magnet pond. Especially if you are willing to pump water in and out to control the water level. This allows you to do plantings to attract your waterfowl. Do a search in the forum to find some of the good projects from the duck and geese people.
The pond also looks to be highly eutrophic (too nutrient rich). This is very common for old ponds. It will be difficult to develop a good set of fish populations in that condition.
Hopefully, some of the experts will drop in and give you some help on that item. I suspect draining and removing muck and sediment, plus deepening will be on their list.
Finally, do you have an existing population of fish in the pond, especially "trash" fish that stir up the bottom? A deliberate fish kill and starting over fresh would be a cheaper option than a full cleanout.
Does a creek or a neighbor's pond wash out into your pond during big rain events, or do you have total control of what aquatic creatures make it into your pond? That info definitely affects your options going forward.
Good luck on your project!