Hello. to complete those puzzles you need to add blue symbols and remove red symbols, is ideal you follow the order in the slots to get the proper final combination.
As for Vail, the mount of damage the barrels take counts, depending on how well you did you get better rewards. However, if you let the barrels get damaged too much or destroyed, the NSFW wont happen, since the quest will be considered as "failed". However, regardless of the outcome, Artwork can be recovered at later points in the game (not avaiable in the current version)