I don’t see any particular issue with those messages, debug messages usually aren’t significant.
If you SuiteCRM handling of the request doesn’t include a long wait in the middlle, and yet your users have to wait 30 seconds or more to see a page, then the delay is before SuiteCRM gets called, or afterwards… right?
If you move to a different server, it shouldn’t affect email at all, SuiteCRM just uses SMTP, it definitely doesn’t have to be on the same server or on the same hosting company.