Hi Elise, it’s OK, solved with some CSS. already on live https://www.independent.wine

Issue 3:
since the menuitem is clickable, I changed CSS to
.iw-menuitem a {
color: #c41e3a !important;
}

Issue 4 and 5:
🙂 @media only screen and (min-width: 992px) {
.sticky-header .site-logo,
.sticky-header .my-account-with-username,
.sticky-header .header-links.my-account-with-username.my-account-with-icon,
.sticky-header .mobile-search-icon {
display:none;
}
.sticky-header .right-column {
width: 100px;
}
.top-bar-left {
text-align: center;
}
.top-bar-right {
display: none;
}
}