Judy, I did the same box done with Spanish Ceder. the Spanish Ceder is prone to wrapping anyway so I made sure that the stock was stacked and stickered when not working on it. One important thing I did to help with the warping was to tape both sides of the wood to keep the moisture level equal on both sides. I glued the pattern to the top of the wood, then clear packing tape, then on the other side, I glued plane paper and then tape. With Thin woods it is important to do the same thing on both sides, so if you use mineral spirits to clean off glue residue on one side, do the other side too.
When I mounted the hinges to the box, the top did no set level, like yours. To fix this, I shimmed the hinge on the opposite side of the warp with a piece of paper folded in half. That cured the problem!