Dear gemasis sydawn,
You can edit layout file to disable someone module positions on Mobile and Ipad / tablet. About modules, only someone modules can allow you configure to display or not on other devices.
So, if you want display module positions:
Please go to Template Manager ->Layout Setting -> Please check in 'Select Layout'
Then go to your_site\templates\sj_fashionstore\layouts and open the layout file and add:
data-tablet="hidden" data-mobile="hidden"
in the <position>
Example:
<position class="span2" type="modules">nav2</position>
=>
<position class="span2" data-tablet="hidden" data-mobile="hidden" type="modules">nav2</position>
Thanks