A subscription will continue to run until its expiration date. You can either resubscribe before that date, or subscribe again after that date. No new ID is required but you may not be able to take advantage of any free trials a second time.
From:
If you want to cancel a subscription from Apple - Apple Support
Notes:
• You might need to scroll down to find the Cancel Subscription button. If you don’t see Cancel Subscription, then the subscription is already canceled and won't renew. An "Expires" date (instead of "Renews") means the current subscription will just run until then. "Resubscribe" is just in case you change your mind about having it end.
• Deleting an app does not cancel a subscription.
• If you don’t cancel trials more than 24 hours before your renewal date, your subscription might renew.
• If you don't have an Apple device, see the options near the bottom of the support document.