If you used a condom, it's unlikely that you'd get herpes. Handjobs never transmit herpes.
Since you are responding to the anti-fungal cream, it would seem like it's a fungal infection, but since it's been a month, you should probably get this checked by your doctor.
If you got genital herpes, you wouldn't have symptoms in your throat. You should get that checked out, too. You could have strep throat or something similar.