It sounds as if you might need a new transmission (for the wipers).
Usually it's not a big deal to change on most vehicles.

Here's a link to a parts diagram for a '91 DX 4 door.
http://tinyurl.com/pcn7s  The actuating rods, parts 10 & 11, have teflon
bushings at each end.  It's possible that one of these bushings may have
worn and come loose while operating the wipers.  Since both wipers stopped
simultaneously, then I would check the rod bushing at the wiper motor
first.  It's also possible that the wiper motor itself could have a
problem.  Check that the linkage at the wiper motor is intact and that
nothing has come loose.  There are also electrical checks that one could
make to test if the wiper switch was at fault.  If you have a volt meter,
then you can check if the wiper motor is getting 12v when you turn the
switch on for example.  Note that a common problem with Honda's wiper system
is worn bushings in the wiper pivots, parts 12 & 14.  These can be tested by
lifting the blade up off the windshield and trying to rock the pivot at the
base back and forth as well as side to side.  Although I've seen some pretty
worn pivots, I've never seen any that prevent the wipers from working but
it's not impossible.  Usually, worn pivots prevent the blade from tracking
the windshield correctly.  By the way, you should also check to make sure
that the pivot/arm attachment nuts, part 20, haven't come loose.  Report
back and let us know what you find.

Eric