How do I redo my small kitchen backsplash and countertop?

Hi Debbie, you could just paint it. We did that, here's a link so you can see what a difference it can make. And it's an inexpensive fix.

https://www.hometalk.com/diy/kitchen-dining/kitchen-dining-furniture/diy-paint-your-ugly-counter-top-to-look-like-granite-for-100-34583100

https://www.hometalk.com/search/posts?filter=paint%20laminate%20countertop

Hi Debbie, paint one or both! I painted my countertops with melamine paint and it lasted 10 years until I replaced them. Or Paint the back splash! Here's how I painted the countertops

Lightly sand to rough the countertop up

Go to your paint store, tell them what you are painting, they will pick the proper paint and primer for you, you can even get the primer tinted for a better coverage

Once you have sanded, clean with TSP, then rinse and dry thoroughly,

Apply your primer coat, let it dry according to the instructions

Once the primer coat is dry, apply your paint coat, I would apply 2 or 3 as it will be stronger and thicker

Once your coats dry, you can apply a matte clear coat, either by spray or roll on, keep a small container of it under your sink for touch ups, (I never touched up) I had my counters like this for 12 years, until I could afford new ones.

I used a few uncolored glass cutting boards for protection. It held up very well. And only costs you the prices of the materials.

Good luck!