This fun drink is fun for kids and adults! (Grownups: Feel free to add a splash of tequila.)
Heat a grill to high. Brush the pineapple slices with oil. Grill until charred in spots, about 2 minutes per side. Cut one piece into 4 wedges and reserve for garnish.
In a small bowl, mix the tea bags with 1/2 cup boiling water. Let steep for 3 minutes. Discard the tea bags. Let the tea cool.
In a blender, puree the grilled pineapple and 1/2 cup water. Strain into a medium bowl or pitcher, pressing on the solids in the strainer. Stir in the tea, soda, lime juice, and lemon juice.
Pour the sugar onto a small plate. Rub 1 lime wheel around the rims of 4 tall glasses. Dip the rims in the sugar. Fill the glasses with ice and the mockarita. Garnish with the lime wheels and pineapple wedges.