The website itself is safe, but some of the content could possibly be troublesome. Most, if not all, animations and games on this website are created in Adobe Professional with ActionScript(3.0/2.0). I've never had any problems with the content, but it's possible for people to put redirects in their content. I've never had to deal them so I assume they delete such content when they're submitted. Just to be on the safe side, I'd recommend checking the comment section before playing anything to see if there is anything suspicious.
I never had any real problems while using this website on the computer, but I had a problem with redirects in the past while using my smartphone. I'm not sure if this is still a problem on mobile though.
The official website where you can check on the upcoming news about QuakeCon and it's events. The website is completely safe.
The website itself is completely safe, but the community is really shady. Normally, social websites would ban hackers and destructive groups, but Twitter hardly ever seems to take care of them. You won't have to worry a thing about these people unless you click on the links they post on their profiles(avoid at all cost).
Honestly, I can't say anything about the website itself seeing as I never use it, but the game is safe.