Fun Central AC894 LED Foam Stick Baton Supreme - Multicolor - 12 Pack

I ordered this product but there are not solid color settings. Those who said there are, Could you share with me what product you got and seller? Thnx

Does the whole stick light up or are sections white like in the pic?

Do they come with a clear plastic covering or just foam? I wanted to get stickers made with company logo to stick to the outside.

Could I use them in the pool?