Beaches have me, and my solid form travels with packages. I emerge when dirty dishes are done. What am I?

I lie on the floor, cozy and snug, Soft woven threads in a warm little hug. Spread out below where footsteps all tread, Adding some comfort wherever you head.

People love to walk on me, but hate it when I'm in their shoes. Shiny, tiny jewels 'neath the sea, but I cannot pay your dues.

Metal jacket, small and round, I keep what's inside safe and sound. A friend to beans, a holder of fizz, Open me up to see what it is.

I travel in circles without going anywhere. My riders choose animals that never breathe or tire. Music and lights mark each slow rotation. Children step off where they began, Convinced they’ve gone somewhere. What am I?