SSL Certificate error

Have you checked your cert? The actual cert is different from the cert you are providing.

Certificate:
    Data:
        Version: 3 (0x2)
        Serial Number:
            2f:a4:1c:d7:b3:65:58:be:59:5c:38:c8
    Signature Algorithm: sha256WithRSAEncryption
        Issuer: C=BE, O=GlobalSign nv-sa, CN=GlobalSign Domain Validation CA - SHA256 - G2
        Validity
            Not Before: Oct 17 07:13:06 2017 GMT
            Not After : Dec 11 08:45:40 2020 GMT
        Subject: OU=Domain Control Validated, CN=cc.sedoparking.com 
        ... 
        X509v3 Subject Alternative Name:
                DNS:cc.sedoparking.com



Error tell everething you need

service.external.mydomain.com.br uses an invalid security certificate.   
The certificate is only valid for cc.sedoparking.com.   
Error code: SSL_ERROR_BAD_CERT_DOMAIN

Update you cert to a valid one.

Wildcard certificates don’t go more than one level.

So *.example.com will cover external.example.com but not *.external.example.com

You either need to move the domain to be directly under example.com or get another wildcard for *.external.example.com

Have you tried other browsers? I know there are some weird chrome bugs with this wanting alternative names and the like.

Can you paste your certificate key chain from your SSL profile (minus anything identifying oc)