A:AnswerNot sure what you mean by “cut” but you can customize how touches control your device in the AirPod app on your phone. There are lots of choices but a somewhat limited number of things you can do at any one time.
A:AnswerAnything you can play on your watch or phone will come through your AirPods. The reason your watch is listed for a subscription is you can subscribe to listen directly on your watch without your phone.
You must have your phone or Watch to listen with your AirPods.
A:AnswerYes… The only thing different about the wireless case is you can sit it on the wireless charging port as well. It still works the same - that’s the only difference.
A:AnswerYes and no- you can play anything through them that you play in your iPhone. Must be in range of your phone or whatever they are connected to.
No you cannot measure distance with them.