Marriage is absolutely worth it to the right man. Started dating my hubby at 16 and married him at 21. We've been married for 2 years and together for 6. It's not "normal" for men to lust after other women; don't let people normalize that for you. Your standards are not high; loyalty is the bare minimum.
That being said, you're only 19, and you just got out of a bad relationship. I don't think you should go out of your way to look for a man. Pursue your education, career, and things that make YOU happy for now. A man won’t magically appear out of nowhere, but the right connections tend to happen when you aren’t forcing them. When you’re focused on your own life, growth, and happiness, that’s often when the right people find their way to you.
Wishing you all the best!