If the fence is yours - ie your boundary and on your land then the neighbor has no right to attach anything to it (without your permission).
It is not possible to attach to a neighbor's fence unless permission is given by the neighbor. It is a good idea to get any agreement in writing for attaching to the fence.
My advice is go see your council and advise them that you are changing the fence and get a permit,and it is also good that you asked your neighbour.
His gate really jars my fence when he shuts it. I think he should put his own post in and attach his own gate to his own post.
No. In fact no part of your neighbors roof or anything attached to that roof can even protrude over your fence. Most places have laws specifically stating how far away from your property line they have to keep their buildings.
No, it is not permissible to remove your neighbor's fence that is on your property without their permission.
Find your exact property line..... then come on your side of it just a few inches and then the entire fence is on your property as opposed to building right on the property line where it would be on both properties.
To prevent your neighbor's dog from jumping on your fence, you can install a taller fence, use deterrents like motion-activated sprinklers or ultrasonic devices, or talk to your neighbor about training their dog to not jump on the fence.
If a neighbor wanted to install a fence the fence has to be on the neighbors property entirely. Not half the fence on your side and half on the neighbors side. There are also zoning regulations that deal with issues like this. Some counties will not allow a fence to be over five feet tall and they have to be constructed using only approved materials. I know that in my neighborhood metal fences are against code and they can only be constructed using fence block. If I were you I would call the city planning office and ask them, they will have a definitive answer. Who knows, maybe the fence was put up without the proper permits and your neighbor has to take the entire thing down.
Are you open to replacing your fence if your neighbor suggests it?
A nail gun is commonly used to attach fence pickets to a fence.
You have no obligation, especially as they did not seek permission to attach. Simply detach theirs by any reasonable means and go your merry way. you should just have a discution with your next door neighbor and see why he\she stuck a nail threw your fence
If the neighbor's fence is on your property in New Mexico, you can ask them to remove it. If they refuse, you can take them to civil court.