This looks like the entire concrete fence panel has been lifted - which is expressed in the caps on the posts being lifted up - but the panel looks level.

This is an old tree that is in heavy decline and will soon be dead,

This is a single trunk tree species. It would be best if a decision on the recommended action could be made after seeing the tree from the inside of the fence.

This Crape Myrtle is pushing up the HOA's concrete perimeter fence causing a gap at the post.

Branches over sidewalk need to be trimmed up to 8' above sidewalk.
Branches over street need to be trimmed up to 14' above street level.