I just wish he should have explained too on the video if those ATH are the halving years to be more precise, am I right that 2013 and 2017 are the halving years?
Nope. that past halving years are 2012 and 2016, because bitcoin scheduled to halve their block rewards for each four-year period.
For the video, it is a very simple, and meaningful one, but it's hard to say bitcoin will keep repeat its movements like this. By now, it is just a theory, but we can expect on this theory.