yes sunflower seeds float; no you don't need to punch holes through the paper towel; as it's just starting, it might take 3 days to get to ferment, and I would stir it once a day until then (you'll know it's done when you see little bubbles between the grains, which work their way to the surface if you jiggle the jar). If you add and stir in a spoonful of plain live natural yogurt, it'll get there quicker, as you will be inoculating it with some beneficial lacto-bacteria (the more strains of that in the yogurt, the better; most have at least 3), besides whatever is on the surface of the grains, and in the air in your house.
You may see a sort of film form on the surface of the liquor. That is usually something called kahm yeast, which is completely harmless and can be stirred in to enhance the microbiota growing in the liquor, or scooped up and removed if you feel more comfortable with that. This is a useful well illustrated website on kahm yeast for people making kombucha:
https://brewbuch.com/kahm-yeast-and-kombucha/
If anything furry and red or yellow grows on your fermented feed, it is best discarded with the grains in close proximity, but don't assume all moulds are bad; most aren't. And some are very good. The blue-green mould that appears so commonly on old bread is usually penicillin, for example. And it's also a penicillin bacterium that creates blue veins and gives a fantastic taste to Roquefort cheese. If in doubt, don't give it to your flock. It's not worth the risk.
But if it looks fine, smells fine - and by 'fine' I mean 'not off' - trust your senses, they evolved for precisely this purpose - give a little to your birds, and let them be the judge. I find they much prefer it rinsed, rather than covered in the fermented feed liquor, which can be a bit gloopy. Save some of that liquor for your next jar, which will then be ready in 24 hours or less, and the rest of it makes a great plant food, diluted as you think fit. Your flock may take a while to acquire a taste for it, so just offer a little at a time, and adjust as things develop. Typically the boldest bird will have a go first and the rest will follow suit when they see it's a safe new food.