The trend, in your situation, is to do a flat countertop with an undermount sink, extending out behind the sink for counter seating. You could do a backsplash on the end, but that doesn't look like somewhere that is likely to get wet or dirty.

Thank you, yes I am doing an undercount sink, and will extend the bar an inch or so out as the D>R> is right there the space by the fridge and stove is where my concern is regarding the backsplash should I go with a nice white subway tile, as the quartz is a Calcutta gold mostly white.

No 4" backsplash! It's just not done any more, way dated. I think the subway tile will look nice. I do think that the larger size tiles are better than the small tiles, even in a small space.

Thank you so much, that is what I thought... just looked at subway tile tonight and like, you said, I like the bigger one, even for small space. I only have 20 sq. feet to add B.S. thank you again!!

Might be worth it to replace the cabinet with smaller size sink base cab and one stack drawers. It is basic maple stuff carried by every brand . this would be an upgrade for you.

Use a flat surface by the sink instead of the raised bar top, with no back splash on the side wall by the dishwasher. Then subway tile for your other area that needs a back splash.

Thank you for the responses I am putting in a stainless single bowl under mount sink. I would also like to take the bar area away, but there is so many electrical wires and outlets on the part above the sink. It would look much better in my opinion. Will see if the people can change that. Measured now for the bar. This is a villa so very small area. Thank you to everyone love all the ideas!

There “are” so many wires!

Outlets and switches can easily be moved to the side wall instead.

Here's going from a double bowl sink to a large single on a 39" cabinet with a finished right end and a flat island.

IMO you could gain counter space just by doing a single sink and keeping the whole counter one height as for backsplash if you did that you would not need one at all

Thank you all, I really like the idea of a flat counter,, makes so much more sense to me and move the sink to the end of counter. Will see what I can do. problem when they come to do the template can they change things? ToLtd me counter has to be in. Again thank you!

You need a General Contractor to fix all the issues. A stone fabricator is not going to touch cabinet alterations, much less wiring.

Yes agree!!!! Maybe too much involved to lower counter, should have been done when built. I’m the second owner. Thank you

Agree with Patricia's suggestion: the dual-height counter is not an efficient use of space if you're looking to gain more counter area. Lose the bar-height counter and do an extension with counter-height stools.

If you do decide that it is easiest to stick with the double height counter, it will still look great in the calacutta gold that you have chosen.
If the bar height counter works for you and will cause you less stress moving electrical etc. then keep it.
I would definitely do the counter, the backsplash, and the bar height counter all in the same stone and then it will all just flow together. I wouldn’t break it up with a subway tile backsplash and also don’t do any side-splash on wall side.
Here is a pic that shows all stone on the 3 areas.

It's not difficult to re-do if you want to. It's a matter of cutting down the pony wall a bit lower and reframing the top of it for the countertop, and then moving the electrical outlets. Very minor for a big change in looks and function.

Good Morning everyone that responded with idea‘s for my small kitchen, they have been very helpful, so happy I ask for advice. If I can do a flat surface by the sink I can put bar stools under the counter which will give more room between the bar area and the dining room table, now to find a good handyman! Thank you everyone So much!

That is NOT “handyman” work. You need a licensed GC. Unless you want it butchered, and the electrical done wrong.