i wonder if its something about your internet service provider and our internet service provider that have trouble connecting at those times... there can be daily shifts in connectivity etc. It sounds like whatever the problem you are having isn't coming from our website, but rather something with your computer. Your browser not following links for instance is clearly not the website's problem.
I would suggest that you may have a virus or some malware installed that has hooked itself into your internet connection and is fouling with things.
Try using http://www.malwarebytes.org/mbam.php
and see what it finds.