You can cancel your EZ File Drop subscription at any time from the Billing page. Only team owners can cancel.
Cancelling does not delete anything. Your forms, their settings, and your submission history all stay in your account.

Nothing changes right away. Your subscription stays active and your forms keep accepting submissions through the end of the billing period you have already paid for.
After that date:
Because nothing is deleted, starting again later is a matter of choosing a plan and publishing your forms again, rather than rebuilding them.
You can reactivate at any point before your paid period runs out. Reactivating is offered at the end of the cancellation dialog, and it puts the subscription back on its normal renewal schedule.
The Current subscription card keeps showing the "Active" badge for the whole window between cancelling and your end date. That is expected rather than a sign the cancellation failed. Cancelling schedules an end date instead of stopping the subscription on the spot, so the status does not change until that date arrives.
Choose a plan from the Billing page. Your forms and submission records are still there. Publish the forms you want live again and they start accepting submissions.