I do apologize if you are going through such technical difficulties. I remember when I had my old laptop a couple of years ago, I had the same problem of logging out; on top of that strangely my keyboard refused to type letters on the forum yet not on other websites, so I had to type my replies onto my email account and cut & paste over to here to post. I don't seem to have the same problem anymore once I first got my tablet. Have you tried posting on Eupedia on another Internet divice; either tablet or smartphone? :)
Hopefully using another divice helps ;)