Public and Private company

Are they true that:

1. There are two types of public companies listed and unlisted. The difference between them is listed company has access to stock market but unlisted company does not?

2. Both listed and unlisted public companies can invite people to buy shares but the difference is that listed companies are allowed to issue shares in stock market but unlisted public companies are NOT allowed to issue shares in stock market?

3. Private companies are NOT allowed to issue shares in stock market (alike unlisted public company) but they can issue shares to other people. Would you please let me know what does the other people could possibly mean here?

Thanks ?