Steve,
Welcome to iRV2!
From your description, it's unlikely that the problem is a fuse or the inverter, because everything works on shore power, and the inverter is feeding the receptacles. Do you have any master cut-out switches, maybe up by the entrance door somewhere? If so, try cycling those.
Just a hint.... It's hard for members to help with questions without knowing both the year and the model of coach that you have. Most folks put that information in their signature because then it's always there to refer to.