Curiosity: are you from US? Is software engineering seen as less valuable than computer science? I'm asking this because for me software engineering is a more complete discipline and would encompass pretty much everything computer science does.
It's also worth noting that the term "software engineer" isn't regulated here, while other engineering titles are.
No they aren't. Unlike in Canada, you can give yourself any title without actually having a license in that profession, as long as you aren't being fraudulent in your claim.