The US needs to protect its assets, and stay an ally to Russia as much as possible. For now, that means giving into the demands of Russia regarding this recent air strike. It is an important and neccesary thing in order to keep the peace and keep another war from starting.
Yes, the US was correct in giving in to Russia's demands after the air strike. The US and Russia do not need to get into an armed conflict. If giving in to Russia's demand can help to avoid armed conflict then the US should give in as long as the country does not have to sacrifice too much.
While the USA is a country famous for its military prowess, it would be unreasonable to risk the well being of its citizens for a disagreement with another country. It is great that the USA gave in to Russia's demands instead of fighting back and making the conflict worse than it originally was.
No, I don't think that the U.S. should have given in to Russia's demands following the air strike. Giving in to violence could invite more violence. Instead, nations should host diplomatic meetings to talk and negotiate. Military action of this type is equivalent to bullying, and that is not the right solution.