Danielle1,
The fact that your pool got clearer after the Hubby left the pump on adds credence that more filtering will help. Also, some of the people advising you are the same ones that helped me get started almost a year ago. My pool's been perfect ever since with less than $5/Mo of chemicals... similar size to yours but in ground. Keep testing, keep posting! You'll get great advice and you'll learn in no time then get to encourage other newbies.
Your filter capacity seems a little light for the size of your pool which may mean you'd need to run longer. Comments experts?
I hope this helps and good luck!
Chris