[Alternatively, leaving the Honedge unsupervised might cause just as much trouble... but the choice is the Trainer's, not AZ's.]

Honedge and Litleo both evolve with experience, as most Pokemon do. So far as I know, Litleo's evolution, Pyroar, evolves no further. Honedge's evolution, Doublade, evolves into Aegislash with the application of a Dusk Stone.

Pumpkaboo evolves when it is traded, much like a Kadabra or a Graveler.

I am AZ. And your name, Trainer?