After waiting several weeks for it to rain again so I could determine if the pump was working, I decided it wasn't and so I hauled it out, took it back to the local independent hardware store and had it replaced with a new one. That took about two minutes and the nice man even carried it out to the car for me (Valu Home Center, Nash Road, Wheatfield - yay!).
Reinstalled the pump. Replaced leaky flexible hose. Turned on the breaker. It worked! I have a few leaks to deal with, however - one at the other end of the flexible hose (hopefully taken care of now) and one where the semi-rigid pipe attaches to the sewer pipe over on the other side of the crawl space. *groan*
It rained the other day and I heard a strange sound - the pump had come on all by itself! YAY!
So all I have to do now is fix those leaks....
I'd better do it soon - I am losing interest in this project.