I don't think it matters where it is sheathed, only that it is.Im not sure since it seems that running with 1h in one hand the other free to carry momentum is faster than with both hands on 2h. it seems less intrusive for something to be at ur side than have something wobbling like on the back. I looked and there hasnt been science done on how certain ways of carrying affect athletics and wpf
no idear, but those things you pictured there, do they all have the same weight? If not then there is different reduction or increases to your speed.This doesnt have to do with weight but the speed formulas for sheath types (for instance fighting with sheathed shield is slow and running with sheathed 2h is fast). Specifically if 1hs and bucklers get a less athletics/wpf penalty because of their sheath type.
no idear, but those things you pictured there, do they all have the same weight? If not then there is different reduction or increases to your speed.So a weapon that does have a weight increases your speed because you carry it around? :)