Your chainline is pretty straight in the video, don't need to worry about that.

Very few chainrings are perfectly concentric, that's why your chain moves up and down when it is in motion. The noise might come from the cog rather than the chainring. Older models of Surly cogs were notoriously loud no matter what you do to the drive train, the cogs had bad tooth profile (almost square) that caused all sorts of noise while you're pedalling it. I am not sure if it is still the case with the newer models, though.

Nothing seems to be wrong with your bike, just a little noisy. The variation in chain tension is no big deal, you could try to straighten the chainring with by using Sheldon's method.