Your coordinated colors are neat. I'd ditch the check valve personally, there's not really any way water could siphon back into a closed container, the check valve is one more place you could get a pin hole leak. Opinions may vary.
I was successful with a similar setup for about 6 weeks when I got a pin hole and the bubbles stopped. After that it was a very frustrating 4 weeks of algae, a stack of soda bottles and a lot of yeast and sugar wasted before I was able to get another cap to seal. I ended up using a push to connect bulkhead fitting from home depot with some acrylic caulk to seal it up I also bought some 1/4" polyethylene tubing, it is more ridgid and a little easier to work with than airline tubing. Apple Juice bottles are a lot easier to fill than the soda bottles I discovered.