Looks warm, but OK. Maybe hot but not overheating.
I think you will find the youtube video is what is driving up the heat. About the only thing that normally cracks up the fan on battery is compressed video (mp4, etc...) that I've noticed. Do all the other stuff you are doing without the youtube and you will see lower temps and the fan at 2500rpm. Start the youtube video and the fan will slowly start up as the temps climb.
Even so, the MBA runs much cooler to the touch than a MBP. Connect AC and run compressed videos on a MBP. Now that will get hot (burning) to the touch. The MBA is barely warm by comparison.