Repairing Separated Plywood

I am about to begin restoration on a cocktail video game cabinet to
whatever extent is possible, and was wondering if anyone here can tell
me what is the best way to repair separated plywood, or at least what
process would be recommended to retard further deterioration of the
plywood edges.

Bottom of cabinet:
http://s290.photobucket.com/albums/ll257/Statenislander/Woodworking%20Projects/

Any advice would be apppreciated.

Thanks a lot.

Darren Harris
Staten Island, New York.