I have such problems as well. Thought that they were gone with 7.0.4, but they're still existent.
Mostly, those kind of problems appear on my iPad air ( e.g. that the scroll bar of Safari is in the middle of the screen, or something similar like the op has ).
Also, my iPhone crashes at least twice a day ( the funny apple logo Wochenende all know from jailbreaks
). The same with this damned music app, which tends to crash every hour, that's extremely annoying, in my opinion
Despite this, safari crashes also a lot, but it's bearable, though not nice.
I hope fixes those issues with 7.1.
Regards.