Complications are pretty rare, but the big ones with LASIK would be ghosting, loss of contrast, and potentially some haziness from contamination under the flap from something like epithelial cells or meibomian gland fluid. Recovery time is shorter for LASIK than PRK, and often times the vision is better with LASIK. Military pilots tend to go with LASIK most of the time.
I'm also no ophthalmologist. Make sure you get a consult from a good one that isn't after just your money. Some will promise you great results even if you aren't a great candidate.