Crucible settings menu options
If you were wondering what the Crucible settings menu looks like, then this video below by Vale will show you. This video goes through the menu and shows what all the options are. There's mouse sensitivity, screen resolution, video settings, key binds, audio settings, accessibility, and gameplay settings. This Crucible video doesn't really tell you what you want because it's different for everybody.
There are all the standard settings in this Crucible guide. The game even has controller support, but at the time of writing the controller support is not very good, with no aim assist and limied ranges of motion.
Crucible also supports all screen resolutions. There's individual mouse sensitivity for each hunter and each of their different modes of aiming. Crucible actually has a decent amount of options in the settings menu.