Haha, this is interesting and noisy. Let me summarize it. Please tell me if I am wrong.
The following words about home are correct:
1. Adverb: I am home. I am home. (The usage of home here is similar to: here: I am here.)
2. Noun: I am at home. I am at home. (home is similar to: I am at airport.)
3. Verb: He will home you when you arrive there.. When you arrive, he will arrange your accommodation.
4. Adjective: He likes the home team. He likes the home team.
5. Pay attention to the distinction: go school means to enter a state of study, go to school means to enter this place