i read somewhere (probably here on the forum) that at the height of the rapier 'age' they reached somewhat ridiculous lengths in civilian circumstances, mostly for fashion as the wearer was not likely to engage in a real duel.
i also read that a city where this was happening was so annoyed by the lengths gentlemen were going to, they banned blades over a yard long, and anyone caught with a longer blade on entry thru the gates would have it's excess broken off.
what i gather is a typical rapier scabbard (repro) and associated belting and fittings. the carrier at the balance hangs from a hook/eyelet on your left, and has a further strap that hooks to another eyelet on your right. the sword hangs almost horizontally, in balance. i assume the extra strap keeps it at a better angle & from flopping about hitting others & provoking duels. it does NOT go around your butt, but runs forward across your front as in the 2nd photo
.