I am providing this information for a 1998 Honda Civic DX Coupe, 1.6L.
I am giving you how to check out the switch. However it may also be the wiper motor also. I have attached that TSB for your review.
I would test the switch out and then if good replace the motor as the TSB states.
Testing and Inspection
Remove the driver's dashboard lower cover.
Remove the steering column covers.
Disconnect the 8P and 6P connectors from the switch, remove the two screws, and pull out the switch.
Check for continuity between the terminals in each switch position according to the table.
Technical Service bulletin
Windshield Wipers - Won't Park or Shut Off
May 16, 2000
1998 - 99 Civic - All 2-door models
2000 Civic - 2 door models from VIN 1HGEJ....YL000001 thru 1HGEJ....YL043357
Windshield Wipers Do Not Park or Shut Off
The windshield wipers do not park or shut off when you turn the windshield wiper/washer switch OFF.
Broken park position reed switch.
Replace the windshield wiper motor.
Windshield Wiper Motor:P/N 76574-S01-A07, H/C 6094296
Sunday, January 11th, 2009 AT 6:37 PM