Hi,
Welcome to the forum.
Looks like celeste.
If that tree was not dropping figs before; something changed. Could be it is getting shade from a nearby tree that grew faster.
I had a shaded branch drop the two brebas, while everywhere else on the tree, the brebas made it to ripeness.
After 10 years, the dirt could start to go depleted, and some fertilizer could only help.
It could be from the weather. Fresh days can make figs drop.
One question: are there lots of figs on the tree ? figs fallen under the tree ? Or is your father complaining that there are almost just leaves on the tree ?
If the figs were there, but keep on disappearing, I would start critter hunting, especially at night .