You need to talk to a lawyer to really know for sure what you can and cannot do.
Generally speaking you only own the copyright to original works. For example, you cannot take a picture of the logo and then claim you own the copyright to the footage. You cannot then make t-shirts or hats, for instance, using your photo of the logo. Make sense?
The news on the other hand is a First Amendment issue because it’s journalism, freedom of the press.
Here is exactly where the nature of your youtube channel will matter. Are you a “news” organization? If so, then what you need is a press pass, from the team.
Are you a freelancer trying to make a profit from the team? Now, you need a license from the league, players union, and team before you can distribute. For example, consider this from the athlete’s point of view. You need to pay him or her a fee for using their likeness.