Issue with cache and post subtitle

Hello, I’m having an issue with the post subtitle not showing when the post is published.
The site (a newspaper) is working together with cloudflare, this behaviour started when I changed a CF rule (from cache level standard to caché everything, with no Edge cache so the cache is retrieved directly from W3 Total cache), the usual is that once the post is published I don’t see the subtitle until quite a while or when the post is updated (on purpose so the subtitle appears) .
I also have a similar issue with the publishing time on the category and post pages, the template shows when the post was published (like 23 minutes ago, etc). The problem is that the post in the category page shows 4 minutes ago and the post page shows 13 seconds ago.
Any suggestions?
Thank you!