Welcome! I decided use briefcase with two crossed wrenches to symbolise profile of your company, two crossed wrenches are similar to cross, which symbolise hospital, wrench symbolise services. I also wanna stick to you colors as you requested, but I don't know that's good idea...
#1. I like the combination of gold with the green and black. The "K" looks too much like an "H" I don't really get the briefcase concept, but the wrenches in the shape of a cross is interesting. Can you lose the briefcase and try the wrenches in the green/black/gold color?