I agree with CindiKS that it appears there is storm damage. Was there a hurricane or tornado in the area that damaged the mature trees?
When you ask: "Does this look like it is going to be a problem if not a problem already.."
Please, when you post additional photos can you also be more specific; what kind of problem are you anticipating? Are you asking if the tree will drop limbs? Or if it will shade the plantings under it? If it will require help from a licensed tree doctor? If the tree should be removed?
Also please, is this your house? Did you recently purchase the house?