Yes. That's what passports are for.
Yes as New Zealand is not in the UK.
You can travel with valid Yugoslav passport until December 31, 2011. But you should note that you will need visa for most of the countries if you travel with such passport. It would be wisest thing to replace Yugoslav passport for new Serbian or Montenegrin passport.
Yes no matter what the distance you will need a passport to travel across the border.
No. Both are in the United States. You do not need a passport to travel from state to state.
If having a passport for 3 years from German it will not be good. You will have to get a new passport to travel to the UK.
You cannot travel on a cancelled passport, but you can carry it with you. You have to travel on your renewed passport.
Yes
no u do not
YES
No. New Mexico is part of the United States, so you don't need a passport. :)
No there is not. Should you receive your new passport, you can travel internationally already.
If Castro lets you out of Cuba to travel to Florida then yes.