Would you capitilize south west north oreast in a sentence?

No, not unless it was part of a name, like a country, or an address.

Living south of Pittsburgh, Pennsylvania, I wondered how long it would take for my letter to travel west to be shipped to South Africa.

I was supposed to go to 1 South Main Street, but I realized I walked north instead of south.

After traveling east to the Turnpike, I went west for three miles before connecting with a highway going north for two miles, and eventually, that highway met another one that took me directly south.

"What area of the city is known as the north of South Bend, Indiana?" the teacher asked.

The north and east sections of the county got more rain than the south and west areas.