I could very easily be wrong, but it looks like "Italian Honey". I bought one for DH many years ago, and the fruit looks like your pic. They are very sweet, with a honey-like secondary flavor. Not that he gets very many: the squirrels start eating them as soon as they just begin to turn color.

Chinese privet, Ligustrum sinense. Category 1 invasive plant in the southeastern US.

When I first saw the top fruit my mind said avocado but Im not expert on those. Doesnt look like any kind of citrus to me thought. Especially with those big bumps on the blossom end. Do the leaves smell like citrus when you break them?

Just google the scientific name and see what turns up. A quick look found a plant for sale here: https://www.burncoose.co.uk/site/plants.cfm?pl_id=1740.