Mix pudding mix with gelatin and sugar in a saucepan. Blend in 1/2c of the water and the eggs. Add remaining water and cook and stir over medium heat until mixture comes to a full boil. Remove from heat; stir in rum. Chill. fold in whipped topping. Spoon into pie crust and chill until firm, about 2 hours. Garnish with additional whipped topping and lime slices.