Can You Still just Submit Your Work to Newspapers/Magazines like the Old Days? Questions - Comments

Flyer. I don't think I have a teen center in my town, lol. And I don't really write things for teens so I don't think I would fit in a "teen" magazine.

Mmm, I enter contests :) TeenInk does publish the top rated stories on their site each month, but I don't believe there's a cash compensation.
Honestly, just randomly sending your work somewhere is never a super good idea. Search up some teen centers in your town, and see if they have any publications; the teen center in my town has a full blown publishing company just for youth, for example.

It depends on each publication. If you have some in mind, then you should check them out individually. Each has a different set of rules and standards on the pieces they print.

No but I think the website teen ink is like that it's an online teen news paper and features teen written stuff. I've only ever logged on to it once but I believe once they post it it's automatically copy righted by the site.