Unless there is an obvious injury visible or blood in or around the eyes or if you live in a desert like climate where there is dust and dirt, an “eye infection/conjunctivitis” is caused by a respiratory disease. This is because a birds sinus cavity is located in front and around their eye sockets, so when they’re sick with a respiratory disease, they membrane swells in the sinus cavity. Now I’m not one to disagree with antibiotics, but I do firmly believe you shouldn’t treat unless you get proper testing done by, not just any exotic or avian veterinarian, but a poultry disease specialist veterinarian. Most respiratory diseases are a lifelong permanent disease and all birds remain potential carriers for life. This is why it is best to get testing done as soon as possible.