Is this possible?

I am interested in the following functionality:

First: A single login for a group (think players on a baseball team) which allows for group-specific products to be displayed in a woocommerce store (think team shirts – I already have this setup)
Next: Forcing individuals users (within a group) to enter unique info at checkout without storing or displaying that info to any other user within the group.
Bonus: The backend ability to generate summaries (invoices, purchase orders, spreadsheets, etc) for an entire group. (This function is not make-or-break).

Will ‘Groups’ do this?

Thanks!