Hi

For the Dynamic Layout you want the icons to right >> Under Presentation tab >> enable Display advanced presentation options >> In the Header css class >> add my_header  or the name of class you want for specificity. 

then add the css as

.my_header .header-left, 
.my_header .header-right {
    right : 0;
    left : unset;
}

This could add same styling for that particular layout and wherever you need the icon towards right you can simply add the same class my_header that will work as expected.