It is a male red rump. he looks like my male.
You see how it's bare around his eyes, you might want to take him to a vet and have him checked....he could possibly have either mites, or an upper respiratory infection.
I just went thru those exact symptoms with Puff, of my birds that I rescued.
on a positive note around your birds eyes are not red or swollen like Puffs was, but I would still recommend getting him checked with an avian vet.
When he's improved wait until you hear their call/song!.... it's gorgeous, it sounds like some of the sounds from star wars, lol.