Chain length looks right to me. I think you're good.

You might want to play with your B screw adjustment, and see how that affects things. Usually I shoot for the RD cage to be a bit more parallel to the chainstay.

RE checking your hanger alignment without a tool, it can be done. I've always had a tool and but like I said earlier, you can do it with a rear wheel. Here's a video from RT:
I like to adjust the derailleurs without using brifters at all to start with. Yank on the cable by the downtube to shift.