The baked on crud on the crockery is just broken down food debris left in droplets during the drying cycle - good to rinse off large deposits before loading but they'll always be some.
It comes from the rinse water not draining off as well as it should - the solution is to make sure you always use a good quality rinse aid - it helps the rinse water to drain off properly rather than form droplets.
The filters you have are at the bottom of the machine on the inside - good to rinse them in the sink now and again.
Peccavi
November 2009