First--I'm able to read when I have my 650 plugged in to AC with either my Droid or my nook chargers (both are microUSB). I can't read when it's plugged in to the computer. This is consistent with the 505.
I also find the 650 to be very stable. I don't believe I've had any crashes in the three months I've owned it. However, I only have a few LRFs on it. My guess is this is probably the OP's problem. The old Sony software would pre-paginate LRF books before sending them to the reader. It's my understanding that for reasons unknown Sony decided to remove this functionality from the new software--which means the reader has to do all the pagination calculations itself--even when the newer versions of the Sony software is used
When I began trying to use Calibre to upload LRF files to my old 505, I'd have all kinds of problems with the reader crashing. Since the 650 supports fully justified ePubs, I don't convert my ePubs to LRFs before transferring to the reader, so I have no idea if I'd have problems with the reader crashing upon uploading LRFs.
dordale