Ask the person that designed the space, they know what the space configuration looks like and can visualize how color and material selection effects it.

Proper capitalization will help communicate information.

Show actual samples or mood/design board. Majority hare are not going to google what those colors look like.

What are the style, setting and views of the home? The colors are nice, but personally I’d have different palettes depending on the location and style. (Eg my lake house in the woods would look different than my ski cabin in the mountains, which would look different than my Caribbean beach house and my city high rise. Sadly I have none of those.)

I can't comment because I don't know which rooms get what direction of natural light.

A few of those colors wouldn't work with north light and one, in particular, would be awful in a west light room.

This is S W Dumpling and it would be beautiful with south light. It's all about the undertones.

For open concept with north, south, and east light, S W Simple Stone would work very well.

Once you decide on the primary color, then choose your accent colors to work with it.

I just re-painted the interior of my house - and covered paint colors that are similar to what you have posted. They were nice - but the walls had been those colors for a long time.

If you show photos of the house, you will receive more help!

You will move forward.with samples of your options in large examples in your space. Check with the paint store on what they have.

The back of the house which is actually called the front on the lake will face West. Setting is surrounded by some trees and beautiful lake view.

Lakefront houses built on eastern shores in the northern hemisphere many times experience the glare of the setting sun in addition to the glare of the reflection of the sun off the water surface; plan accordingly.

(I threw the "in the northern hemisphere" just to make people think)

That’s a solid palette honestly. Western Reserve on wood walls will give you that warm cozy lake vibe without going too dark, especially with a west facing view and all that evening light. Whisper on the cabinets keeps it soft and airyand I’d lean Simple White for trim so it stays clean and crisp. Ironclad on the island is a nice anchor and adds some contrast without going harsh. Overall it sounds balanced and perfect for a lake hous

Western reserve seems dark to me but could be my screen.