Effettuare il passaggio in https non comporta la riscrittura dei link,CSS,IMG http in https... Anche se si attiva tale riscrittura da CloudFlare non è per tutti i contenuti..
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Automatic HTTPS Rewrites
Automatic HTTPS Rewrites helps fix mixed content by changing "http" to "https" for all resources or links on your web site that can be served with HTTPS.
E qui
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Does Automatic HTTPS Rewrites fix all mixed content errors?
No. Only URLs that are known to support HTTPS will be rewritten. We use data from EFF’s HTTPS Everywhere and Chrome’s HSTS preload list, among others, to identify which domains support HTTPS. If your zone is not on one of these lists, only active content will be rewritten. Passive content (such as images) will not be rewritten and will still cause mixed content errors.
ecco adesso sai che non è un problema del host in cui risiedono i tuoi link http.