I hope I am getting your query right. You can control the menu items precisely with the help of the WordPress menu. See the screenshot below –
If you still face issues, pls reply as a private message here with the site URL and a temporary login to the WordPress dashboard and I can take a look. You may also email me the same (see bottom right box in my profile page).
For the float box with an image at the bottom right, pls check if this plugin meets your need –