When is the last time Demo shed?
Reptiles are ectothermic and they rely on the environment to thrive. Most health problems may be due to husbandry but not always. Because Demo didn't shed well, he more than likely doesn't have the right humidity.
Humidity is very important and you can provide an additional humidity box. This humidity would be very helpful for proper shedding. This box could be a small box with a small opening for Demo to climb inside. The interior should be moistened peat moss, vermiculite, or paper towels inside it, and it should be mist daily. Heating one end of the cage allows for a temperature variation that he needs. Provide a temperature gradient of 85-90°F (29.4-32.2ºC) on the warm side and 78-80°F (25.6-26.7ºC) on the cool side. Cage temperature can drop into the 70’s at night. The best heat source is either a heat lamp or ceramic heat emitter placed above the enclosure. Under-tank heaters and hot rocks are not as safe or effective. UVB lighting is recommended – 5.0% UVB or greater for 12 hours a day. The cage should be dark at night. Although leopard geckos are nocturnal, direct and indirect exposure to UVB radiation will benefit overall health.
Unfortunately, his eye looks like he may have an infection, inflammation, or both. He could also have an abrasion due to the irritation.
He really needs to be seen by a veterinarian in order to try to salvage that eye
Over the counter eye drops probably won't be enough for that
You can gently mist him so he can finish shedding. Definitely call around and see who is available to see him/sees exotics.
You're welcome. I hope you're able to find someone to see him and he feels better soon
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