Device manager is not going to tell you anything further than the network card has been detected and that an appropriate driver has been installed.
It may indicate that there's a fundamental failure of the card, as in not detected - but if that's the case you wouldn't get any network connection at all. It certainly won't detect or log any network issues.
The content of the 2 files is more valuable than their names - however, given the names, it seems that Internet explorer has crashed and the second filename suggests an application compatibility problem, I'd concentrate your efforts on finding what's wrong with IE and the various add-ons that you've got installed - whether knowingly or not.
Why not download and use a completely different browser and not use IE to see if your browsing is more stable?
I'd also recommend a thorough virus & malware check followed by a good spring clean of the system - preferably a wipe and clean install.
As I said, my money is on a software problem, not a hardware problem.
SD