As till now i didn't face any problem or crashes Battery life depend on ur usage i am geeting a gud battery lie after some tweaks.
& for rest here is my review
i defiantly miss big 5.3 screen but ONE X is not far behind 4.7 with same size as s2, carrying note was fun but ONE X is more comfortable in case of form factor & size. Camera is way much better than note u don't have to wait to take shots .u can take burst shots at 4fps. and most awesome thing is Tegra 3 quad core . even a beastly NOTE is slow compare to ONE X u can feel lag when u install lots of apps from market in note . but i just transferred all my app in my ONE X & this monster (One X) doesn't blinked at all . sound of ONE X is way better than note as note uses yamaha audio chip where as ONE X uses beats studio tech i am not a fan of beats but it definitely pump the audio but the sound is still below the dedicated audiophile pmp ( cowon j3 or any other) but its still better than most of the phone available in the market for non audiophile is way more than needed. sense 4.0 is much more fun compared to touchwiz 4.0 the 3d transition between pages is cool.battery life of NOTE is better compared to ONE X but not that of day & night u can juice upto 1 to 2 more on note compared to ONE X. but i can bear with that as their are lots of thing which compensate to that .but here are the thing which i miss from my previous phone one of the most fun thing on note is S Pen and i miss this feature a lot .
I think i has solved most of ur Question
go for it its an awesome phone.