Please disable old Stripe API. Stripe Payments -> Settings, Advanced Settings tab, uncheck “Enable Legacy Checkout API” option. This would add shipping address to orders and emails.
Regarding shipping, it’s not supported for Subscription products yet, as Stripe API provides no options to add shipping fee to a subscription product. I have created a ticket in our inner system so we can try to find a workaround for this issue. Will let you know the results.