Are they still Tournaments for RP in Teamspeak servers for 5v5 summoners rift? If so what are they?

The Event Finder is a great place to look for events, including tournaments of various types. Here's the link for online tournaments:

http://events.na.leagueoflegends.com/events/upcoming?type=tournament&online=true&language=en

Just as a note, however, that many of the online tournaments will soon no longer be Riot sponsored and will not be accessible from the Event Finder tool (as far as I'm aware). For more information on that change, check out the announcement below:

http://boards.na.leagueoflegends.com/en/c/miscellaneous/6c2OrJEA-upcoming-event-finder-tool-changes

I would tell you but there is so much bad grammar, I'm afraid I must point that out first. "Are they" should be 'Are there' and "so what are they" should be 'so where are they' rip English, our common language being butchered...

Well I am only 7 -.-