Quick link, Social icons and Search box

you would have to control them with media Queries. For the
quick-link you could use the following code which would hide them on devices that are small then 767px. If you you wanted device with 479px and smaller you would select just the top most query. You would just look for the media queries for all the components you want to hide and set the display property to none.

@media only screen and (max-width: 479px)
.quick-links {
    width: 100%;
    display: none;
}
@media only screen and (max-width: 767px)
.quick-links {
    float: left;
    width: 100%;
   display:none;
}