I am the executor of my father''s estate and in the will my last name misspelled, we have different last names. Could this be an issue in the future.

If this mistake is minor and it is clear that you are the intended executor it should not be a problem. If the mistake leaves ambiguity in who the testator (your father) intended to have as his executor it may be that the probate court will need to intervene on the issue. In Florida it is necessary to have an attorney to aid in the probate process. A probate or estate planning attorney can help you determine whether the misspelling is an issue of concern.