This is something that can be changed in the Tomcat configuration files.
These two can be solved by generating a CSR and installing a real certificate on the server. Googling for directions for Tomcat will get you there.
ID: 7029 - the certificate does not match the domain name of the site?
ID: 7034 - Self-Signed Certificate
This I believe is solved by changing:
ciphers="SSL_RSA_WITH_RC4_128_MD5, SSL_RSA_WITH_RC4_128_SHA, TLS_RSA_WITH_AES_128_CBC_SHA, TLS_DHE_RSA_WITH_AES_128_CBC_SHA, TLS_DHE_DSS_WITH_AES_128_CBC_SHA, SSL_RSA_WITH_3DES_EDE_CBC_SHA, SSL_DHE_RSA_WITH_3DES_EDE_CBC_SHA, SSL_DHE_DSS_WITH_3DES_EDE_CBC_SHA"
In your server.xml located in apps\Vontu\Protect\tomcat\conf
ID: 7031 - disable cipher with a key length <56 bits
Basically if you google these problems and find the solutions for Tomcat you can apply them to your enforce console.