How do I test my new apple watch to answer a call? it doesn't ring

Initial incoming calls and texts appear on your Apple Watch or iPhone, but not both. If your iPhone is unlocked, you get notifications on your iPhone instead of your Apple Watch. If your iPhone is locked or asleep, you get notifications on your Apple Watch, unless your Apple Watch is locked. For more info, see:

Notifications on your Apple Watch - Apple Support

1. Yes, it should
2. Yes, this too ;-)