No, the US should keep a military presence in South Korea until both are reunified and every single would-be dictator or co-conspirator in North Korea has been arrested and standing trial. The last thing South Korea wants is for North Korea to agree to reunification, the US pulls all troops, and North Korea invades.
As for Russia, they started this mess by propping up their own little puppet government in North Korea at the end of World War 2. Russia should nut up or shut up because they have no leg to stand on regarding the Koreas other than creating the situation we have now.
I believe China cares so long as there is not war and the threat of nuke usage. China has a good thing going with their economy, their gargantuan trade imbalance with the rest of the world, and the last thing they want is to take sides in a war in which all goods from their country could be embargoed because they do not side properly with South Korea.
I would not be surprised if China along with the US would provide joint security for the reunification.