There can be no literal day and night in the absence of the sun.
God does need a rest!
Maybe your God does; mine doesn't. Not literally.
Obviously, God does not need a rest in the sense that a physical body needs rest from work.
Ummm... congratulations, you just interpreted that verse figuratively.
If you can understand "rest" figuratively, why can't you accept that "day" might likewise be used figuratively here?
yet you do not seem to have faith in God.
You have reached an errant conclusion. My faith in God is not dependent upon a mindlessly literal interpretation of scripture.
The interpretation was literal. God stopped all his work, he ended his work. Thus, he rested. Rest does not require a physical body to cease one's activity, although us humans have a tendency to think so. Consult a standard dictionary if you still have problems with the word 'rest.'
God rested so that we may rest. He rested to sanctify this day so that we may rest and observe this sabbath day. His physical labor, creating the heavens and the earth, did not tire him physically, or mentally, or in any other sense of tiredness. There is nothing figurative about this. God can, and did, rest to establish a precedent.
A figurative interpretation, however, is necessary for those wishing to dispute God's Word.