My Baritone Beginners books says an open G string is an octave higher, see attachment. But now that you said the G string on the baritone is the same...
I purchased pretty much the same case from Sweetwater for my banjo uke. The uke rattled around a bit too much, so I added some foam that holds it in...
At one point I asked Derek Shimizu the founder of G String about the same initials on my uke and he said that the JK referred to Josh Kekoa who built...