Veterycin eye gel, Terramycin eye ointment, or plain antibiotic eye ointment such as Neosporin would be good to apply to the eye twice a day. If there is drainage, then saline can be used to flush the eye before the gel or ointment is used.
So I had one of these hatch in May, and I thought for sure it was gonna die, 'cause it just looked "off" and it was't eating and gaining weight the way they should.