Yep that is the same for me. Interestingly the first one works with YouTube being shown embedded..
I tapped the YouTube link and there it says 'live event playback is not supported on this client'..
Do they load in any of the 3rd party YouTube apps?
My phone seemed to stuck on the 'gears' screen, say 10 minutes or so, but then it rebooted and is now migrating data. I don't know what it is, but that screen always makes me nervous..
It sounds like you have had a bad run of luck. I've only had two, an LG E900 (I think) and a Lumia 920 which I am currently using and I've not really had any problems with battery, build quality etc..