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If your tree is old, this is just part of a natural process - as the tree grows, the roots get bigger and come up out of the soil. If the tree isn't very old, it's probably a sign of thin topsoil. Although the tree might be more prone to falling over in high winds, it's really more of a cosmetic problem than anything. You can try adding a thin layer of topsoil and planting a groundcover like monkey grass to hold it in place and hide the roots, but it won't hurt the tree if you leave it as it is. This article covers the problem in more detail: https://www.gardeningknowhow.com/ornamental/trees/tgen/exposed-tree-roots.htm

I see the bark looks healthy and it is leafing out.

Fertilizer is not generally needed, but the article below will help you access your growing conditions.
If you do choose to make an application of fertilizer, use a light application.

https://www.gardeningknowhow.com/edible/fruits/figs/fertilizing-fig-trees.htm

This article should tell you everything you need to know:
https://www.gardeningknowhow.com/edible/fruits/figs/fig-tree-leaf-drop.htm

I wish I knew the name of the tree but I'll give you the standard recommendation. Cut it down and immediately apply 20% glyphosate (Round-Up concentrate) to the stump. Use a child's paintbrush or 1/4 inch foam brush. You only need to paint the thin green circle that is just under the bark. Do this to each stump. The herbicide is absorbed and taken to the roots. If that doesn't work, then move up to an herbicide with triclopyr and glyphosate. Once again, don't get the already diluted, ready to use product. I have had success with this technic on buckthorn, tree of heaven and invasive honeysuckle.