Shopping Cart and Checkout?

Hello! I want to create an affiliate based website where users can buy video games from several major online retailers that they would normally buy from, but without ever leaving my website. I would like for them to be able to type in the name of the game they want to buy, see a price comparison for the different merchants, add an item to a shopping cart, and checkout on my website rather than being directed to the merchant’s website in order to checkout.

Questions:
1)Is there a way to have my visitors search for a video game that is offered by the major online retailors, add the game to a shopping cart from a price comparison table, and then checkout without ever leaving my website?

2)If the visitor adds three or four different video games to the shopping cart, and each game comes from a different online retailor, can they complete one simple checkout on my website even though they bought games from three or four different merchants?

3) If my visitors are buying games straight from my site rather than being directed to the merchant sites to checkout, would I still receive an affiliate commision even though I never actually sent the customer to their site? For example, if a customer adds to their shopping cart one game from https://www.gamefly.com, one game from Amazon.com, and another game from gamestop.com, and then they complete one checkout for all three games on my website, would I still get an affiliate commission from the three different sites for selling their products even though the customer bought directly from my site rather than theirs?

I don’t have any experience on creating websites or using WordPress, I am hoping to do all the above with the use of plugins. Any tips or advice would be greatly appreciated. Thanks!

Chase