I would recommend you to to paint most of the kitchen walls white or offwhite, and create an accent of the same color green you have in the island on one of the walls. You want your kitchen walls to be as neutral as possible and create accents with different materials (countertop, backsplash, island, appliances, etc...)

At the end of the day this is your kitchen and you should do what pleases you! :)

I was going to suggest a soft color too because you do have a lot of color going on already in your kitchen. You could go with the soft green you were thinking of or a very soft yellow.

If the adjacent rooms have strong colors and you like color, I would recommend staying the course! How about a strong yellow! It would be pretty with the green island and works well with red. Go for it!

Look at Benjamin Moore Fernwood.

I love all the white but with the red & green it is jarring. A soft butter yellow will look good. Go with what brings you joy.