I am now back to riding the Falcon in to work for the season. She needs some maintenance and cleaning, but she's operational for the time being!
If anyone knows how to fix a slightly warped wheel, I think that's the biggest need right now.
UPDATE 5/12/18: I found out that the rear wheel did not need to be trued. Four of the spokes had snapped off! I never seem to learn my lesson; never buy cheap bike parts.