Gunner/Gunnar~ German. I don't see it as usable in the US.
Grayson/Greyson/Graysen~ Not a fan of this last name as a first name. I don't mind Gray, though.
Gibson, Grady, Gerardo, Gauge, Gannon~ Dislike them all. Gage, too.
Hexndrix (and Hendrix)...hate the "x". Houston~ ugh, Harlan~ ugh, Harper` ugh ( hate it for a girl, too)
Hank~ I don't mind this as a nick name for Henry. It's really out dated, though.
Hamza~ Say WHAT? hector~ fine for a Latino baseball player.
Hayes is kind of cool. I have a way back relative whose first name was Hayes. However, it was his mother's maiden name.
Iker, Ibrahim~ nope. I would never use Israel but I don't mind it. I watch Flip or Flop.
Justice/Justus~ Ick.
Jaylen/Jalen~ i know quite a few people with this name. I'd never use it but I don't hate it.
Josiah is the only suitable one from this row and I don't really even like it. Juan and Jesus (as Hay-soos) are fine for Latino baseball players.
Judah~ Oh. please!. Jett~ SMH... Jayvion~ nope although I know guys name Javion and Javon. Parents of future college and professional athletes seem to like these name and variations of them.
Jamari and jadiel are too weird. Junior is hill billy.
I hate Jagger. Jamarian (athlete again) is awful. I don't mind Javier but I'd never use it.
Out of all the names you have posted in all of the questions I hate Jaxton (and jJx) the most. It makes me cringe. I like Jackson and Jaxton just makes my blood boil.