No. Something I do sometimes is to go to the forum frontpage and search my name in the searchbox. It doesn't work everytime, but you can see a few posts where you got quoted.
And before you ask, there is no "someone quoted you" notification in the forum.
You can't. The only kind of "notification" you can enable is the notification on new posts in a specific thread or forum board.
This feature will probably be available in the new forum software that should be releasing in the future. No ETA yet