Former Sen. Paula Hawkins of Florida, who has recovered from a back injury which threatened to make her an invalid, is feeling so good she's talking about running for elective office again. Mrs. Hawkins, who was Florida's most prominent Republican officeholder for more than a decade before her loss to former Gov. Bob Graham in the 1986 Senate race, said she would prefer staying in Florida to returning to Washington. ``I've been elected three times in Florida statewide and people remember that,'' she said. ``I like serving.'' The Republican National Convention has been a coming out of sorts for the 61-year-old grandmother, who spent most of 1987 recovering from a series of operations to correct a chronic back problem. ``The voters did me a great favor,'' Mrs. Hawkins said. ``They said, `You need to get a new body.'''
