If there was a right to marry, all of us would be married.
We have the right to freedom of speech but we have no right to be heard.
The difference between a privilege and a right is that a privilege is conditional on the performance of certain obligations. A right is self-executing by nature. A privilege means we must abide by such and such to gain full benefit from it.
That’s true of a drivers’ license. Incidentally, all marriages are licensed, too. One has obligations to fulfill to validate the privilege.
That makes no sense at all. It's like saying if there was a right to peacefully assemble all of us would be assembled somewhere. And I note the that the right to peacefully assemble is a group right. No individual can "peacefully assemble" - they need the cooperation of others to exercise this right. And the right to peacefully assemble can be conditioned on obtaining a license or permit if the group wants to assemble in certain places at cetain times. And not all marriages are licensed - some states still recognize common law marriage. So you are wrong on every assertion you made.