Yes. To link your accounts, click on the "Apps" link and search for Zoom. Once it pops up, click on it and it will message you with the following instructions:
Hi @YourSlackName Welcome to the Zoom app on Slack. You can quickly start or join Zoom meetings here. These are the available commands:
No. The meeting ID will remain the same throughout the recurring scheduled meetings. Any other meetings scheduled outside of these will take on a new meeting ID.