- Mudd is the daughter of a "disreputable businessman" -- Harcourt Fenton Mudd, no doubt (though he is not named, April clearly knows him and understands his love of money)
- April is in a proxy war with the Klingons, who are supplying the opposite side with weapons (rehashing "A Private Little War" plot)
- April takes over Kirk's Enterprise using a sleeper program he inserted in the old Enterprise
- Last frame has April saying "It's good to be back in the chair!", looking suspiciously like Harrison does in the scene where he's sitting "in the chair"
So, we'll likely see the old Enterprise in the movie. And clearly April is involved, and has it in for the Klingons... just as does Harrison.