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No. There is a statutory exclusion that would prevent such a person from being the personal representative (Florida term for "executor." The section is 733.303.
In this situation since he cannot serve, his sister would serve alone. Mother can also amend the will and name someone else. Keep in mind that he can be a beneficiary, just not a representative.
civil rights restoration does not change this exclusion. I trust the answer is fast and clear. Kindly rate it positively.