FWIW, the massacre isn't referred to as "Tiananmen Square" within China, it's called the "6-4 incident" (after June 4th, the day it occurred). I remember this always surprising us when working on google.cn (from the U.S. offices): [tiananmen square] is not blocked within China because no Chinese person ever searches for that (it's an English phrase anyway), but random numbers that contain "6" and "4" are, including Javascript code.
What do you mean? Tiananmen Square is a place in Beijing, right next to the Forbidden City. You can visit it all you want, there are so many tourists there.
You can get arrested if you want, shouting about the massacre, but there are much easier ways to do that.
China is such a vast place and there are a lot of places worth visiting. Don't let internet mentality stop you from exploring the world, no one is after you.
Sucks that China's govt is such an authoritarian hell but it's mostly transparent to you as a tourist.
Congrats, mentioning that last bit got you arrested and the consulate can't help since you technically broke PRC law.