A content strategy is a short list of topics that make the service pages clearer. Each piece should help a buyer, a sales conversation, or the team that has to explain the offer again.
A calendar without that link produces posts the site does not need. Publish less, and attach each piece to a page you already want found.
Repurpose only after the point is useful on the site. Social posts can carry the same idea. They should not be the only place it exists.