Small tweaks to menu/search of mobile view on modified theme "Cheope"

General information for the website: Sells home furnishings
Kind of development: Customization of existing website
Description of requirements/features: Two small tweaks needed to fix the menu and search functionality on the MOBILE view of this site.

Site: www.spotdeco.com

Mobile View (Android and possibly iPhone):
A. On all screens but the front screen, you cannot enter anything in the search box. The keyboard pops up, then instantly pops down again, meaning that you can't enter anything into the search field. Maybe "focus" issue?

iPads:
(these errors can be seen on real iPads but also on this emulator: http://mobiletest.me/#d=iPad_mini_portrait&u=http://www.spotdeco.com )
1. The default "Cheope" header was replaced with the current "turquoise icons" menu (see desktop view of site). On iPads, it's showing the old "default" header - not the new "turquoise icons" header. Smaller screens show the mobile view header (correct), desktop screens show the turquoise header (correct) - it's just iPads that seem to have this problem!
Extra notes: