Don't use lighter fluid...'nuf' said.
Alcohol is OK if you don't have a dry erase cleaner.
But, once clean, you may want to consider using an additional protective layer of acrylic tape since the back of the box is already a bit 'shiny'. Don't just use/assume that any acrylic tape will work...no, no!
They are not created equally...some won't even 'erase' with a dry erase pen.
Check out the 'most popular' tab for over a years worth of Q & A info that will prove invaluable. This was discussed extensively there.