Soap perl and ssl certificate changed

I have a perl code that sends SOAP request through SOAP::Lite like this:

eval 
{
  $sresp = SOAP::Lite
    ->uri('http://machine/key')
    ->proxy('https://usr:pwd@website.com/addr/addr/remotescript.pl')
    ->remotescript_pl_function(@parms, $gmtime);
};
if ($@)
{
  print $@;
}

After existing certificate for *.website.com has been replaced I am not getting valid responses anymore, I am getting

500 Can\'t connect to website.com:443 at localscript.pl line 123.

If I enable

$ENV{PERL_LWP_SSL_VERIFY_HOSTNAME} = 0;

everything works. But I would like to verify the SSL hostname, how can I do that, or track down the problem? (I am a little lost in this proxying).

I have c++ code with libcurl that goes along the same lines and works well. Entering https://website.com into browser works fine. Entering http://machine (machine is on local network) works.

edit 1:

Both perl -MIO::Socket::SSL=debug4 yourscript.pl and analyze-ssl.pl from p5-ssl-tools show error message 1416F086 which lead me to information that SSL certificate has "Chain issues" that have to be fixed in certificate installation.

edit 2:

After fix of the certificate is the error gone! Perfect, solved!

Solution

Here is solution mentioned in comments by Corion and Steffen Ullrich:

Running either:

https://github.com/noxxi/p5-ssl-tools script analyze-ssl.pl
perl -MIO::Socket::SSL=debug4 yourscript.pl

displayed same error: SSL connect attempt failed error:1416F086:SSL routines:tls_process_server_certificate:certificate verify failed. This pointed me to: telegram bot SSL error: SSL error {error:1416F086:SSL routines:tls_process_server_certificate:certificate verify failed} where I found that I too have "Chain issues Incomplete".

After fixing certificate the error is gone.