Should I be linking to the home-page on completion of checkout?

I'm creating a design for an ecommerce website¹, which includes the checkout/order process. One element that I'm concerned about in the design is the 'checkout completed' page, specifically linking back to the home-page.

I've reviewed a few ecommerce websites concerning this functionality (namely Amazon and eBay), and they do not link back to the website's home-page at the end of the order process:

In my design I've followed suit and have not included a 'Back to home', 'Continue shopping', or similar button:

Should I be including a 'continue shopping' button or similar?

^{1This is for a college assignment, so I won't be actually building it.}