The driving example is a bit disingenuous because, in the US at least, driving isn't conceptualized as a "right" - it's formulated as a privilege. The drinking example is closer, but that's the right to self-determination. I don't suspect that you believe children have zero self-determination, nor do I suspect that you believe that one person's right to vote should be based on everyone in a particular class.
It would be unconscionable to say, "Women shouldn't be allowed to vote because some women can't make good decisions." I simply extend the same unconscionablity to children.
My conclusion: No. Children should not be able to do those things. Therefore, there are likely other things they should not be allowed to do.
I honestly can't believe we're even having this discussion.