killyah
I would like to know what the first one is too.
I have it in my refugium.
Someone told me it was a form of green turf algae, but I've yet to confirm this. Normally the turf's I've seen seem to grow more on rocks, but this one is free floating, with nothing anchoring down to either the sand or live rocks.
It grows slowly in my fuge, I think you could leave it in your display tank - you'll just have to prune it back now and then.
I'm with everyone else on the second one.
I would say it looks much like the nuisance hair algae we all try to avoid.
You may want to remove this stuff until you can positively I.D. it, unless you prefer to leave it in the tank - that's your choice alone.