I don't really use the QS1 considering it has a 39 annual fee and there are no rewards with the PC. I took these cards to help build my credit back up and it has worked out big time but I honestly use the Citi and my main everyday card and Discover seeing it's double cash back after the first year plus bonus categories just as the freedom.
I may be going against the grain a bit, but are you trying to build your credit ASAP for something specific in the VERY near future? Like a mortgage or car loan?
Personally, if I had a card that had an annual fee and a small limit that I don't use, I'd just get rid of it and continue to build my credit with the cards I actually do use. UNLESS I was about to apply for a mortgage (in which case you need to keep things pretty steady credit-wise).
My understanding is that AAOA shouldn't be a huge concern because FICO keeps a card as part of your history for 10 years. Honestly, I didn't realize AAOA was a "thing" until coming to these forums. I'd never taken it into account. I've never kept a card around if it had an annual fee and I didn't use it.
The thing you'd potentially need to worry about is your utilization. If your balances on your other cards are high, then eliminating a card with a $1,300 card can hurt you. But honestly? You have some decent limits on your other cards, so $1,300 is probably not a big deal.
Again, I don't credit-build for credit-building's sake, and I only keep around cards that are useful to me. And I've been fine.