I will do as you suggested and add two sets of tripper pins to run the pump three times a day. You Tube has a video on how to do just that. Running the pump three times should keep my electric bill down. I will keep the filter and pump. I may buy a bigger pool that is the appropriate size for the pump and filter next year.

I have some other questions about the timer that I'd like ask out of curiosity if you don't mind. Are there other timers that will run my pump other than the Intermatic T104? Does the timer have to specify for use on pool pumps or it has the same specifications as a pool timer? Can you bypass a timer and plug the pump directly to a GFCI outlet. It will be a few days before I can fix the timer. In the meantime, I will focus on the water quality.
Thank you for your time.