mattpoll What is the keyboard shortcut to bring up the start menu?
Use the "Windows" key to launch the main menu. It works the same way on Windows, and if you see any references to the Super key on Linux, it's the same thing.
The application shortcuts you're referring to are probably icons in the task manager. Just right-click on one, and the context menu will tell you how to un-pin it. Do the reverse with Chrome. First launch it from the Internet menu, then right-click on its icon in the task manager, and click to pin it there.
Whether you click on an item that actually says "pin" or "unpin", or you simply click or unclick a starred image depends on which DE you're using (you didn't mention that), but the process is the same.
Sorry, I have no idea about the dual monitor issue. I use dual monitors on my workstation, and there's never been a problem with any Solus edition. I've used both Budgie and (currently) KDE Plasma on that machine.
