To do all of the things you have listed with optimum control and results, you really would need both, depending on the ability of the player software that is either in or drives your TV.
1) is what you get from DVD Copy, it is DVD-Video structure (IFO,BUP and VOB files in a VIDEO_TS folder). Some standalone media players can play it without problems, including the menus on the original DVD if you retained them.
2) the DVD Copy licensed version gives you complete control, copy only the titles you want, with or without menus, only the audio you want etc. etc.
3)DVD Copy provides this, but so does DVD Ripper. Which you should use depends on your player software.
4) This is the DVD Copy basic function. You would just add a step to burn the DVDFab output to a blank disc instead of just using the folder it writes to your hard drive.
5) All DVDFab output is "all region" or effectively free of region restrictions.
DVDFab does not work on CDs.