Blocking tracking and ads are tricky. Block certain ads can break sites. Adblock plus solves this problem by selectively whitelisting certain elements. I just visited your site and tried the video and adblock plus whitelisted 9 object subrequests and scripts to allow the video to play. To test, I override one of the whitelist items and that was enough to stop the video from playing.
Such whitelisting has to be manually added rule by rule in their filter list sometimes for each specific site, which adblock filter list maintainers do every day, so it is a labor intensive process. You can't just make a list that and add all known tracking/ad companies and not break sites.
I thought the Avast addon would use Easy privacy filter list of Adblock Plus to stop tracking b/c the previous Avast Adblock addon used those filter list, but I guess not. If they did you wouldn't be running into these problems, it seems that Avast uses are more general list and blocking more indiscriminately which means you will continue to encounter these problems.