SSL on my subdomain-sites does not work, despite domain-mapping settings...

Hi there!!
I moved to a new host. My multisite install with 1 main site and 6 subsites on subdomains are working fine again and it's faster and on wildcard SSL.
Nevertheless the subsites still don't make a green lock to indicate that the SSL is OK.

Tests say that the certificate is OK, but that there is a redirect somewhere:

For example: (HTTP/1.1 301 Moved Permanently)
HTTP status code 301

I'm not a very technical guy, so could use some assistance here.

Thanks in advance!!
Best regards,