Now I live in east Tennessee, I never have this problem in Central Washington State, Where I grow it for years. Please Help.
Unfortunately, your photos did not come through. I am unable to see the bugs in question. There are a multitude of insecticides that you could try in order to combat this problem.
https://www.gardeningknowhow.com/plant-problems/pests/pesticides
https://www.gardeningknowhow.com/ornamental/trees/fruitless-mulberry
grown in south australia KAPUNDA SA
I didn't find any information on a "browns" mulberry. This article may help with the care of a mulberry:
Last year I grew some mulberry cuttings all these produced were leaf every few inches. July I pruned them back. Around first of August four sections started to produce flowers then Berries. 5 days ago four just fell off and today 5 fell. Watering is good, could be weather. It's been unusually hot here in San Diego.
There are several possibilities including weather, poor pollination, overbearing, and insects. Here is more:
https://www.gardeningknowhow.com/ornamental/trees/fruitless-mulberry/mulberry-fruit-drop.htm