Northern, Southern, Eastern, and Western

When words like northern, southern, eastern, and western precede a place name, they are not ordinarily capitalized because they merely indicate general location within a region. When these words are actually part of the place name, however, they must be capitalized.
For example:

Preceding a Place Name:
northern New Jersey,
western Massachusetts

Part of a Place Name:
Northern Ireland,
Western Australia


Correct the following:
1. I live in the north or North.
2. I love to go out west or West.
3. He is from the Deep South or deep south.
4. Where is the north pole or the North Pole?