What cms (or other option) is suitable in this case?

Question

CMS

Greetings, can anyone who is knowledgeable in website building suggest how to create a store with the following parameters:
- No basket, the user replenishes his account, from which debits occur when buying
- Bitcoin, Litecoin, PM, Paymer replenishment. Not necessarily all at once.
- Possibility to attach a self-written php script (goods checker)
Looks like this:

The procedure for the buyer:
- registration (entered login, password, password confirmation, + mail / jabber / ICQ. Without confirmation)
- automatically replenished the account via Bitcoin / Litecoin / PM /Paymer (section billing)
- selected a product (selection according to 1-3 criteria)
- pressed the buy button, received the product, the corresponding amount was debited from the account.
- before selling, the product must be checked for the ability to connect using a php script.
- the purchased product is recorded in the history (orders section)
- the presence of additional sections - news, facts

Answer 1

I made a similar system on Joomla + billing component joomlaplus.ru