Will be overspray from this Excelerator melt a lacquer finish?

Thank you for your question! Based accelerators are solvent-based, it is certainly possible for overspray of the accelerator to melt a lacquer finish, especially if the solvent is unable to evaporate quickly enough. Therefore, we highly suggest spot-testing before applying the accelerator, if possible.

can this work with other brands of superglue, like the tube kind found in hardware stores?

Yes it works well with other brands of ca.

Does this work with gorilla glue?

ONLY With the CA Gorilla Glue Line... NO other Gorilla glue line. Unlilke the other people here they don't realize there is a CA GG that is made, and yes it will be fine. I know cause I have used this on it and it works perfectly. It also works with Locktite CA Glue and Other even CHEAP CA glues like from the dollar store, 99c for a pack of 4-8...works perfectly with them.

Should the can be stored in the refrigerator?

Storage conditions are cited on the label. Refrigeration at the recommend temperature is one option. I have stored mine at room temperature in an non-AC workshop in Texas for a year and the glue is still useable.