Ok so far I have been playing for around 10 minutes on Single player and I haven't encountered any problems whatsoever. The only "problem" that I encountered was that when I downloaded Minecraft and I tried to enter it after putting my account name and password it said "couldn't connect to minecraft.net". However, I restarted my computer and opened Minecraft that didn't occur again. I am still afraid the Java problem could happen especially on Multiplayer mode though.