How do I correct or delete the people and details added to the tree that are incorrect.
So sorry that you have encountered incorrect information added to your tree. Family Tree is different from other similar genealogy sites in that it is a single, public tree linked together in families, rather than a site that only allows users to create and manage their own private trees. This distinction means that everyone works together on the same data, allowing for the potential to connect every member of the human family. Because of this, sometimes incorrect information is added. One way to delete information that is incorrect is to use latest changes. The article below will explain how it works. It gives the option to allow you to delete information or restore information. It is always wise to send a message to the contributor that added the incorrect information. They believe that the information is correct; therefore, communication with you would help them and you.
If this doesn't work, go to the help center and search:
How do I correct parent-child relationships in Family Tree?
A person in Family Tree has the wrong spouse
If still unable to fix the problem, reply back but this time include names and PID's of those that need to be changed or corrected.
First, on FamilySearch's Family Tree, there is no such thing as "my tree" or "your tree". It's all one collaborative tree, and no individual owns any of it.
Second, only the person who created a profile can delete it, and that only if nobody else has contributed anything to that profile yet. If you're certain that no such person ever existed, then you can try sending a message to the profile creator to ask him or her to delete the profile: in the right-hand column of the detail page, click "show all" under Latest Changes, scroll down to the bottom, click the contributor's name, and choose the paper airplane ("Send a Message"). If more than one contributor is listed in the change log, then the profile cannot be deleted, and you should instead ask the contributor what prompted the entry. Perhaps the person did exist after all, just not in your family?
Third, in most cases, it's not the profile that's wrong, but the relationship(s). Even non-beginner genealogists often mistake same- or similarly-named people for their relatives, or get confused between multiple generations or cousins all with the same small set of names, so they end up connecting people into families that make no sense. You can correct relationships using the pencil-stub-in-a-box icon to the right of people's or couple's names.
If it does turn out that it's the profile that's wrong, then it can be either "merged away", or it can be detached from all relationships and left to "float" in the Tree. For example, if someone created separate profiles for "Joannes" and "Nepomucenus", they can simply be merged, perhaps with an explanation in the Life Sketch that John of Nepomuk was the person's patron saint.