I agree with Rockrose.....kids of this age do much better by doing, not watching. And by taking things one step at a Time and then practicing.
And, yes, he does show some signs of ad/hd. But, would really need more information. Here is a link that should be helpful. https://www.helpguide.org/articles/add-adhd/attention-deficit-disorder-adhd-in-children.htm.
I am more concerned about him being moody and throwing tantrums. That could really hinder him in kindergarten. You need to figure out what his triggers are. Then you need to show him ways to deal with this. One very good way is a set of books aimed at this age group. They are meant to be read aloud many times and practiced. A good one is "When I feel angry". https://www.amazon.com/When-Feel-Angry-Way-Books/dp/0807588970/ref=pd_sim_14_15?_encoding=UTF8&pd_rd_i=0807588970&pd_rd_r=D5Z7FHSQPQPN1ABCD8GH&pd_rd_w=gvX55&pd_rd_wg=hOgiC&refRID=D5Z7FHSQPQPN1ABCD8GH&th=1
Also, "Cool down and work through anger".
Hope this helps! Oh, I am also the CL on the ADHD forum here - http://www.medhelp.org/forums/ADD---ADHD/show/175. If
you have any more questions about that please feel free to also post over there.