I see you've asked question 1 in a separate thread, How to export (if possible) information from vCOPS - good, check that answer (hope that is fine).
Question 2: No unfortunately not - it will not automatically send mail. You've found where you can configure the SMTP server in the UIs. The one on the admin page will only work for sending reports and alerts triggered on the vcops-vsphere ui. For alerting from the vcops-custom ui you'll need to setup filtering with the 'filter_alertplugin'. This means you need to configure an xml file, found on the analytics vm: /usr/lib/vmware-vcops/user/plugins/outbound/filter_alertplugin/conf/emailFilter.xml
This can be tricky and posting in the forum would mean a complete manual. You can check how to configure this file in the manual from page 82 in this document: http://www.vmware.com/pdf/vcops-57-custom-ui-admin-guide.pdf
Cheers!