[Exim] relay test problem

I'm still trying to determine what is wrong with my system. For awhile,
every email sent out resulted in 30 duplicates being sent.

Now, no mail is getting in or out.

I tried a telnet to relay-test.mail-abuse.org.
Results:

<<< 421 cpanel.domain.com: Too many concurrent SMTP connections; please try
again later.
grabbanner: at /proj/maps/lib/Relaytest.pm line 134, <GEN0> chunk 1.
<<< 421 cpanel.domain.com: Too many concurrent SMTP connections; please try
again later.
grabbanner: at /proj/maps/lib/Relaytest.pm line 134, <GEN0> chunk 1.
<<< 421 cpanel.domain.com: Too many concurrent SMTP connections; please try
again later.
grabbanner: at /proj/maps/lib/Relaytest.pm line 134, <GEN0> chunk 1.
<<< 421 cpanel.domain.com: Too many concurrent SMTP connections; please try
again later.
grabbanner: at /proj/maps/lib/Relaytest.pm line 134, <GEN0> chunk 1.
<<< 421 cpanel.domain.com: Too many concurrent SMTP connections; please try
again later.
grabbanner: at /proj/maps/lib/Relaytest.pm line 134, <GEN0> chunk 1.
<<< 421 cpanel.domain.com: Too many concurrent SMTP connections; please try
again later.
grabbanner: at /proj/maps/lib/Relaytest.pm line 134, <GEN0> chunk 1.
<<< 421 cpanel.domain.com: Too many concurrent SMTP connections; please try
again later.

Is this a problem on my end or theirs?