Entrance through the skin by the virus is not such a big problem. Eyes, nose, mouth are because they are wet and have direct routes into the blood stream. An open wound on your hand would be a problem.
Here’s the thing about this virus. The CDC keeps telling us it’s not airborne but it is in body fluids….like saliva. So every time an infected patient breaths out droplets of saliva and moisture escape. We all see this every winter when we breath and there is condensed moisture coming out of your mouth like fog. The virus is contained in the droplets. The virus doesn’t spread in the air like mushroom spores, it travels in droplets. So if you are on an airplane and someone has Ebola, every time they breath out ebola is ejected into the air. It is airborne.