It wasn't Dax's first kiss. His first kiss was his first girlfriend and then he never had a girlfriend. Tara Lane was just a fling to get information about Leon Harmon.
Whenever he tried to kiss any girl on the lips, he always remembered his ex-girlfriend and how she used him hence it started irking him. As a result, he never lets anybody kiss him on the lips.
Most of his one nights and flings thought he had an OCD and he didn't give a damn about it.
Coming to the drunk girl standing in front of him, Dax knew she wasn't in her senses. If she knows about her own behavior with him after sobering up, she will run miles away from him.
Since he can't forcefully avoid Tia, his lips arced up slyly glancing at Shawn who was anticipating the kiss. Shawn was hoping Dax could get out of his shell and Dax couldn't believe Shawn was selling off his so-called sister so easily.