Retina,
It might not be a problem at all. Do you know about the auto reverse switch that is to the left of the cassette holder? It is a three position switch that allows for (a) single side play, then stop; (b) single side play, auto reverse, play then stop at the end, and (c) continuous play (i.e. flipping all the time at the end of the cassette).
I have the RX-202.
Let us know the outcome.
David