No it doesnt you have to buy a gold membership to get on xbox live or you can be a free member but i would recommend a gold membership the 12 month ones are usually 50 dollars.
If you have a Xbox live Gamer profile, you can just recover it on the new Xbox. If you are not online, you will need to buy a transfer cable.
Yes, you only need to find a wireless connection and you can go on Xbox Live.
you need xbox live
you need to have xbox live
how much memory does xbox live need/
An xbox
Yes.
buying a new card for xbox live
No. You will need to register and buy Xbox live.
No, you do not need the card; getting Xbox Live online works with it too. But, you do need Xbox Live for you to go online, if that's what you were wondering.
Yes, you can use your Xbox Live account on your new Xbox One.
You will need to be live but I think you can be a silver member to do this.