My daughter is having rashes like this all over her body. It itches sometimes but not always so I'm ruling out that it's eczema. She's currently having a bit of cough and runny nose. Anyone knows what it is?

The tiny red dots above the belly button could indicate a mild heat rash of sorts. Perhaps you can change baby into something clothes there are more airy and have more air circulating in the room (maybe a fan if air con isn't an option).