We can use singular or plural verbs with many collective nouns ... mixed as are the pronouns that refer back to the nouns in the previous sentence. So, all four of your options are correct.

One for sorrow, two for joy… and three magpies can be a tiding, a charm, or a gulp. A collective noun is used to describe a group or collection of things as a whole. A collective noun that ...

A longtime writer asked if "family" is singular or plural and got bombarded by unhelpful, often incorrect grammar tips.