I would not put the rainbow with the goldie. I had one with mine for awhile and he was fine for months. We went on a trip for 6 days and came back and the rainbow had beaten up one of my telescopes badly. I had to put him in my 10 with other tropicals shortly after. He has since gone to another home. The only upside is that a common is a lot quicker than a telescope but I still dont think Id chance it. Also, rainbows are tropical and prefer warmer water.
Do you know how many gallons per hour one of those filters pumps? It should say on the packaging. I am not familiar with that brand of filter. You want at least 590 gph for a 59 gallon tank. More is always better.
Oh and Welcome to Koko's!!