given that carcalla and geta father septimus was punic lybian paternally ( his mother was italian though)
there is this option for there y haplogroups to be : j1, e-m81, e-v65
with the bigest chances for e-m81 ....
it is cool that you belong to e-m81 from jordan ....
p.s
yes some of the late roman emperors were from outside rome