Thanks for making aware of the need for that page! I'm making a list of needed articles, and I just added that one. Thanks!
By renewing, do you mean extending the access time? I'm guessing you're not selling a subscription, but blocks of time with single payments?
If it's a subscription, then the new payments will be charged automatically by the gateway. You can add a billing modification form for the user to update that.
If you're selling with buy-now payments, then you'd just have the user buy it again. Make sure he's logged into his account when he loads this page, so his payment goes towards his account and not a new signup. Enable your setting to extend the EOT for the user: WP Admin > s2Member Pro > Stripe Options > Auto-EOT Behavior > Fixed Term Extensions
Does that help?