Amazon API - is it possible to combine selling my own products, from my home, with other amazon products? (see desc)

This is what I would like -- a shopping area on my website. A user goes to this shopping page, they select the products they like, and they add them to shopping cart. When they are ready to check-out, they are transferred with all items in cart to Amazon to complete purchase.

Here's the twist: I would like to sell some DVD's from my home, ship them from my home, without listing them on the Amazon marketplace (only available through me). Those would appear in the shop on my website. And the other products in my store would be items I select from Amazon marketplace, that other users are selling, and list them in my shop so I earn affiliate commission from the sale.

Is this possible?

From stackoverflow

• Listing Amazon products is possible (aStore).
  Selling things on your site is possible.
  Listing Amazon products on a site you are also selling things is also possible.

  The main thing is are you going to follow Amazon's rule's on listing those products among others? I really don't know. Read their rules.