Beautifully put. It should be on a t-shirt.
But then, the very concept of a "right" is defined by mutual agreement. Who is to say what "rights" you do or don't have?
It is a contract and can't be whittled down or imposed on by public opinion. If own the rights to land, you can do with it what you want. If you want to put a garbage dump next to a playground, that is their problem if you aren't physically hurting them.
Libertarians absolutely believe in laws that uphold rights, and legal precedent describing how rights interact.
I ask because dumping waste could potentially be "not hurting others" in an immediate sense, but still e.g. contaminating the dump area.