I'm having the same problem with my iPad 1 - safari spontaneously closing while in the middle of searching a page ... and it's driving me crazy! I'm up to date with all updates and I've tried resetting to no avail...
The other thing I have noticed, is that I can no longer copy and paste images from one web page directly to another web page. As I have a tumblr, this is a problem! I can get around it by pasting first onto a page in notes, then copying that URL address onto the new web page. But it is certainly clumsy and time consuming when you want to copy/paste 10+ pictures quickly. Does anyone know why, or what the solution is? I've looked in the various settings, but nothing makes any difference.