Good luck!
My parents share a fence with a crazy family. Years ago, they put up solar panels on their hillside, about 10' from the fence line. The neighbors (after about 15 years) found out the the property line had been shifted and part of their property was on my parents side. It was apparently a mistake from when the houses were first built. The neighbors took it upon themselves late one night, to take the fence down and bash the solar panels that were on "their" property. Major damage, major $ to fix. Police were called out, parents took them to court.... They never showed, their bit of property that was on our side became ours, but to this day, the papers have yet to be signed by the neighbors. This will make things fun for my parents if they decide to sell first.... To this day, we are blamed for the death of husband.
He died a couple ears later - due to stress, bad heart... Whatever.
You have the right to cut down any limbs from neighbors trees if they are overhanging your property... Not sure how to handle the fact that the tree in the pic is pushing the fence over.