I have a custom ROM on my S3, but that shouldn't really be the issue here. I am on JB 4.2.2.
With my custom ROM I am able to set up different colors of the LED notification for each app that I want. However, this works for every single app I get notifications for except for Instagram. I still get the notifications for Instagram, the LED just doesn't light up when I receive them or they are still sitting in my tray. For Twitter I had to change the settings in the app itself to allow the LED to work, but for every other app, it has been default once I added the settings in my custom ROM. Instagram seems to be handling notifications a little bit differently from the other applications, because it doesn't wake up my phone when I get a notification either. But, I have a desktop application that shows me a pop-up on my computer when I receive notifications on my phone, and it notifies me for every notification, even Instagram.
I want to know if there is anything that I can do within Instagram or maybe somewhere in the phones settings to enable the LED to light up when I receive a new notification from Instagram.