is it durable to use as back splash?

It needs to be sealed and maintained, so if you go with a natural stone make sure you are taking care of it, and cleaning it with the proper cleaners for the material (Scrubbing bubbles types, and abrasives like Comet would not be recommended for this material).

Are the counters also Carrara marble?

What make and model is the hood? I like the look of the panel above instead of cabinets...looks clean.

Yes.

I hope this helps: It is a nice Subway Tile and 3x6" is a classic design that will not go out of fashion.

We have some great options in white Carrara Honed. From $7.00 a Square Foot. Hopefully this helps with a few options.

Carrara 3x6" Subway Tile page. Here.

Our blog offers some great room scenes and so does our Instagram Page.

Kitchen after Kitchen. Also other formats of Tile all stocked and shipped in 1-2 Business Days.

Italian Carrara Bianco Honed $7.50 a Square Foot also available in Polished.

Finally. Who are? We are The Builder Depot. The largest supplier of White Marble in the USA and the Highest Ranked Google Trusted Store in the USA (as of January 2018).