It appears the body was carried face down to the Tomb. . . and pleural sera and blood would have flowed from the lungs in that position with the cloth held over the face by a hand, which is seen on the face in blood on the nose, with the fingers toward the mouth. Again, I repeat, this is the results of examination of some of the finest forensic pathologists in the world. They know what they are talking about. . . your amateur skepticism not withstanding, it is possible and most likely possible.
I don't have a lot of experience carrying bodies but I don't see many pictures of two or more people carrying bodies face down. It does happen but for the most part, bodies in the pictures I see being moved are face up.