Old Maytag DW Needs Help

My old, but still functioning, Maytag DW keeps clogging the sprayer arms with food, paper and plastic bits. Periodically I take things apart and clean them out, but the clogs always come back. The DW is in a vacation rental so I don’t have much control over who puts what in the DW. However, it seems to me that this sort of stuff should be caught by the filters. It is clearly getting through. What filter and/or gasket should I replace first? Many thanks.