I've always heard and read that having the saddle too high causes your hips to bounce back and forth, trying to compensate for the reach. And it's especially pronounced at higher cadences. If you can't take the bike in for a fit, I'd try lowering your saddle just a tiny bit. It doesn't take much to make a difference. Try just a 1/4 inch. See how it feels. When you find the height that works for you, mark that place on your saddle so you can always find it.
Also, keep working on your spinning. It takes time to develop a smooth pedal stroke. Think circles as you pedal. Even pressure on the pedals the entire revolution of your legs. Easier said than done, but it gets to be second nature eventually.
BTW, a cadence of 85+ is a good place to be. If you can keep that up, and work on your pedal stroke, you are on way to some great cycling!
Annie
Time is a companion that goes with us on a journey. It reminds us to cherish each moment, because it will never come again. What we leave behind is not as important as how we have lived." Captain Jean Luc Picard