Plastisol, water base and discharge do not need to be stored in a flammable storage cabinet.
Flammable materials not being used like solvent, solvent inks, the case of web adheasive, spray paint, etc need to be kept in a flammable storage. Small quantities being used can be left out. but local codes and the mood of the inspector can be different. So if you have 10 gallons of solvent ink and 10 cases of spray adheasive they will want that in a cabinet.when possible just keep the quantiles low.
They like to see fire extinguishers, preferably with a tag of some sort or log book to show they are regularly inspected. Signs to indicate where they are that are visible, you can cut them out in red vinyl and stick them on a white sign or print and laminate them. Working smoke detectors. Posted fire plan, drawing of the shop indicating exits, doors and escape routes mounted on the wall by the doors for people to see. No extension cords running across the floor. Minimal amount of clutter and lint. Exit signs over the doors. It's more about dazzling them with that kind of stuff and they will take that you are making an effort. If you have some stuff out there you can ask them what else need to be done.
You can pick up used flammable storage cabinets at surplus stores at a fraction of the new price.