No, you cannot throw branches from your neighbor’s tree back into their yard, nor can you discard leaves or other plant matter that originated from their yard back over there if it happens to land in your yard. You are responsible for cleaning up plant matter that made its way into your yard.

Although it’s possible, heavy machinery like a crane is necessary for removing an entire tree stump and all. This procedure is extremely costly, time-consuming, and usually unnecessary, as there are plenty of convenient and affordable stump removal options. 

Your best bet, if you want to be sure to remove a tree and its stump efficiently, is to speak with a professional. They’ll be able to walk you through the entire process.

Generally, you do not have the right to take fruit from a neighbor's tree, even if the branches overhang your property. The fruit is considered the property of the tree's owner. While you may have the right to trim branches that cross into your yard, the fruit on them typically still belongs to your neighbor. However, laws can vary by state and municipality. In some areas, branches that extend into your yard or trees that straddle a property line may entitle you to some of the fruit. The best course of action is to speak with your neighbor, as they may be happy to share. If a conversation is not possible, check your local regulations before picking any fruit.

Since overwatering can harm mature trees just as much as a lack of water, it’s important to know the signs of an overwatered tree. If your tree’s leaves are yellowing, wilting, or dropping leaves, it’s likely that you’re overwatering. Other common signs include rotting, fungi, soggy soil, soft or peeling bark, falling leaves, and brittle roots. 

If you realize that you’ve been overwatering your mature tree, stop watering and give the soil time to dry out. Then moving forward, increase time between watering sessions.