The peppered corydoras on the glass looks like it is covered in excess mucous (cream/ white film over the head, body and fins). This is normally caused by something in the water irritating the fish. A big water change is normally recommended, however since the neons are dying after water changes, do not do a water change for 2 weeks and see how they do.
It's possible the neons had only just come into the shop where you bought them from, and they were suffering from stress associated with handling and shipping. Then you took them home and they were caught, bagged up and moved into another tank with different water. This has put a lot of stress on the fish and they might just need time to recover.
Give them 2 weeks without water changes and see how they do during that time.
Maybe put some carbon in a filter and run that in the tank for a month. There might be something in the tap water that is stressing them.
Put a picture on the back of the tank to help them feel more secure.
Add some floating plants.
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Stress from tank lights coming on when the room is dark can be an issue. Fish don't have eyelids and don't tolerate going from complete dark to bright light (or vice versa) instantly.
In the morning open the curtains or turn the room light on at least 30 minutes (or more) before turning the tank light on. This will reduce the stress on the fish and they won't go from a dark tank to a bright tank instantly.
At night turn the room light on and then turn the tank light off. Wait at least 30 minutes (or more) before turning the room light out. This allows the fish to settle down for the night instead of going from a brightly lit tank to complete darkness instantly.
It's possible the neons had only just come into the shop where you bought them from, and they were suffering from stress associated with handling and shipping. Then you took them home and they were caught, bagged up and moved into another tank with different water. This has put a lot of stress on the fish and they might just need time to recover.
Give them 2 weeks without water changes and see how they do during that time.
Maybe put some carbon in a filter and run that in the tank for a month. There might be something in the tap water that is stressing them.
Put a picture on the back of the tank to help them feel more secure.
Add some floating plants.
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Stress from tank lights coming on when the room is dark can be an issue. Fish don't have eyelids and don't tolerate going from complete dark to bright light (or vice versa) instantly.
In the morning open the curtains or turn the room light on at least 30 minutes (or more) before turning the tank light on. This will reduce the stress on the fish and they won't go from a dark tank to a bright tank instantly.
At night turn the room light on and then turn the tank light off. Wait at least 30 minutes (or more) before turning the room light out. This allows the fish to settle down for the night instead of going from a brightly lit tank to complete darkness instantly.