All of the three categories are defined as gambling in pretty much all jurisdictions across the globe. However, they are classified as different types, e.g. roulette is closer to slots than poker is. Then poker can be "cash tables" vs "tournament". The main classifier difference is "game of chance" vs "game of skill", yet there are lots of nuances.
https://en.wikipedia.org/wiki/United_States_v._Scheinberg
In the distant past of 2011, offering online poker to Americans, even from overseas, brought serious Federal prison time. That was before the lobbyists got to work.
That entirely depends on the asset classes you invest in. Proper stonks? Sure, that's not gambling. But as soon as you enter the fun world of derivatives and daytrading...