What's the best case for my iPhone 6S, I don't normally like cases?

I'm trying to decide what kind of case to get for my gold iPhone 6S. I don't normally like cases, but this phone is so slippery and I think I should try to protect it. I want something thin, I want a nice feel to it and be able to show the apple logo. I was thinking of getting the Apple cases, either silicone or leather, but not sure what color to get, or if I should at all. I need a cool case that looks premium. I'm a guy btw if that helps.

Does AT&T Mobile Insurance cover cracked iPhone 6s screen?

My friend dropped my iPhone 6s a couple days ago. I have the AT&T Mobile Insurance Plan. Are they gonna replace my phone a new one or are they gonna repair my screen? How long will it take to get a new one? Are they gonna charge me anything? If they do how much?

Why does my Apple TV have my old photos?

When I open my Apple TV and leave it on the homescreen for a while, it starts to show old photos that I took a long time ago. But they are deleted off my iPhone. But i don't know why it's showing those photos.