You can disable the shipping-address aspects of checkout if you edit the catalog product and set "Product is not shippable" under Shipping and Tax. This will make checkout go straight from billing-address to the payment page, bypassing all shipping related sections (assuming you have no other shippable items in the basket).

The billing address details cannot be hidden without customization to the programming.

To my knowledge there is no address information collected at first login. Only email is used to register or authenticate an Able site.

Removing address-related areas from the Account pages wouldn't be all that hard for a developer. No need to delete anything, just setting certain UI elements to hidden should do the trick. Users can't edit what they can't see. Never done this before so someone would need to dig into the code to know for certain.

Removing it from Checkout would be more effort. Should be possible though. Would almost be easier to just roll your own checkout page if you're just looking for a micro-transaction style checkout of email, name and CC details.