If your Instagram account is disabled/banned, you can recover your account using this form.
It takes roughly 3-7 days to get access back to your account.
Please use this template when messaging Instagram:
I think my account may have been disabled by mistake. Please reactivate my Instagram account as I did not break Instagrams terms and service policy.
Instagram will ask you to send a photo with a number for verification.
Once this is done wait for customer support to reply.