test methodologies

Can you explain random/monkey testing?

Similar to QA dept being certified (Eg:ISO/IEX) in service based companies, is there specific certification for QA dept in product based companies?

Also provide details & process on how to get the QA dept certified.

I need to automate the process where each time I need to register a user with a different email and verify them. Is there any such email service that allows testers to automate the process of getting a token / URL from a temporary mail address?

Scenario: I am working for a Product based company where schedule is very tight and we usually do not get much time between releases to create proper test cases, update and manage test suite, revisit the existing ones. Hence even though we have quite a large amount of TC repository, most of the testing goes adhoc and so are the defects, rendering those cases un-fruitful.
Following traditional testing process consumes lots of test execution time which affect quality.
Our process does not follow proper agile methodology or waterfall. Even though we have dates timelines, estimations from Dev, QA etc but 99% of times they tend to extend due to last minute change request (decision: upper management).
Overall, since we are not following any proper methodology, following traditional testing method of creating ground level cases with steps/ updating on test management tool/ executing and then following defect management etc takes a toll.