I would add a 3mm hex to the 4-5-6 array, and maybe an 8mm depending on the pedals. Also a good phillips and flat blade screwdriver - amusingly the video talks about hex tools then shows the front derailleur limit screws being adjusted with a phillips screwdriver.
Torque wrench is especially good for new mechanics who don't have a feel for how much torque is sufficient, or anyone who is working with high end components, especially carbon. Park's TW-1 is reasonably cheap and very accurate, and click-types like the TW-5 are more expensive but easier to use.
I don't know that a chain whip and lockring tool are necessarily essential for the general/beginning rider.