I have similar issue. Played the first closed beta weekend (if there was more than just one weekend this has been a problem for me since the Monday after that) with no issue. Downloaded yesterday. I was able to link account but the "Play" button is greyed out saying "no servers available" and has been since yesterday…
I am not seeing the full list. Only seen the 3 videos. I tend to play either ranger. druids or clerics but no idea what the classes are with newest version of D+D