Yes, you can choose to host and/or play multiple quizzes simultaneously. You can also have multiple game types  live or homework, running at the same time. Each game comes with its own report and you can view the progress by going to the Reports tab.

The 'My Library' tab on Quizizz for Work contains all the quizzes, lessons, and collections you have created, imported, shared, or used with your account. It also contains the teams you have created or belong to. To access this space, click on 'My Library' on the left navigation pane.