Each Shopify store is a separated instance.
There are tools that are able to clone a store to another, but not completely.
Payment and shipping settings cannot be copied therefore you need to re-configure them for your new store manually.
Regarding Stripe, it is suggested to create an additional Stripe account for every project/website.
Of course if the business entity behind is the same you can use the same tax and legal information and also the same bank account for payouts.