Most here will probably recommend that you don't need another backsplash because you already have one - the ~ 4" strip of stone splash. Are you removing that or keeping?

Either way if your heart is set on tile I think you'll need to view samples in your space. It could be my monitor, but your counters read a bit cool to me while the floor reads warm, so you'll want to carefully select something that looks good with both. Perhaps one of the lightest colors in the counter, but I'm not a pro so I'm hoping others chime in.

OP I wouldn't choose anything pattern on a tile (eventually look dated in a bad way) or textured pattern tile..never get white grout. It will be a pain to clean.

Choose colored grout, that either is darker than the tile you choose or same color. Try finding lightest color on countertop if that countertop you sticking with. Medium size picket, hexagon, arabesque, subway, diamond, scallop in a gloss or glaze. Matte will be hard to keep clean.

Generally when choosing tile you want to harmonize with the cabinet color, or the prevailing counter color. Those colors usually harmonize better with each other than yours do.

This is why people buy white tile. In your case it would be a cooler white or possibly a grey, which I actually like better. Think neutral with grey undertones.

Chicagoans is right, the 4” strip would go, and you have to see sample tiles in your space before you choose. These colors are tricky, you need to see them in your light with your materials. Good luck!