Thanks for updating in!
Please be advised that when using a preset, only the styling of the menu or element will be saved. Submenus and menu item icons are note part of the preset. It is related to the menu which you can manage it in Appearance > Menus.
1.) Please go to Appearance > Menus and manage your menu. You can add submenus or add/remove menu items.
2.) This is also the place where you can change the icons for each menu items. By default, it is set to hand icon.
We would love to know if this has worked for you. Thank you.