test the little pig tail fusible links to the blower motor, Honda used them as a safety to prevent wiring burning up behind the dashboard, they do go bad after some years and increase resistance causing slow motor. Do not let the mechanic directly connect the wiring to the blower (it can connect but its not supposed to - you are supposed to use the little wiring harness for safety)
check the blower amp draw with an ammeter to verify good working, Your blower motor may also be tired by now and requiring replacement.