They appear to be good to me.
I can't give much opinion regarding originality, since I don't have any HJ badges and haven't seen many to compare, but the second one is the device from a cap.
The second one looks authentic ,
Not sure about the other one .
The 1st one is a later war painted badge made by B. H. Mayers Hotkunstprägeanstalt, Pforzheim, the 2nd one is an enameled cap badge. I am unsure about the 2nd one but the 1st looks OK IMO.
The second HJ diamond is marked as a Transitional period piece. Not my area of interest but the Transitional piece would be rather nice to have. Both appear to be nice originals.