Hello,
You can increase the height of the languages area to have flags located inside of it, add this code in style.css of the child theme:
.languages-area {
height: 40px !important;
}
As I see search form is opened in pop up window.
Sorry but there is no possibility to move it to the top bar. You can use other header type where search icon is placed at the top.
Thank you.
Regards,
Eva Kemp.