Hi Charlotte... All that you've done for the little guy seems to accord with the prevalent recommendations. The rehab center is probably your best bet. I hope that he/she has not been too badly affected by the heat and/or the disruption and/or any impact that may have occurred. Unfortunately, my guess is that he/she may have little chance of survival, and obviously will have no chance of survival if they opt to euthanize. It's a grim fate and seems quite unfair
Your video is not accessible... it appears to be a YouTube issue. You might go back to YouTube and see if there's an obvious problem that can be corrected.
Here are some instructional materials on how to proceed when a baby bird is found on the ground (the pdf is a flow chart):
http://ny.audubon.org/what-do-i-do-i...-orphaned-bird
http://www.nwrawildlife.org/sites/de.../FoundBird.pdf
I'm sorry that I don't have better suggestions for you. Please let us know how things work out for the little one.