A guy trademarks my Website name and threatens suit if I use it. Please provide some clarity.

It really depends on various circumstances, and the actual name of your website. "Legalbrief" is something different: it is very generic. But...

According to your initial agreement you "would hear from them if the[re] were any problems." So the key factor here is if there was in fact a...

What is the difference between accepting an offer and reaching and actual settlement agreement?

Based on the situation described, you did not "agree" on the terms, which means that there is no settlement agreement at all. So the whole...