Not big of a deal, until someone who is pregnant, immunocompromised, or of adult age with lowered/no immunity to chicken pox gets infected from a child that wasn't vaccinated. It's not mild, it's severe and possibly life threatening at that point.
So okay, I can understand a parent's concern over all the vaccines out there, but it is quite selfish to think it's only about the child in question. It affects public health overall no matter what you want to think of it, unless you're suggesting that people should just not interact with anyone in-person ever.
> 4. Since vaccines are widely used (all small children) the bar for new vaccines should be higher. New vaccines should not be mandatory or on the list.
This I'm torn over, because the newest vaccines to make the schedule for teens in the US and some other countries are Gardasil and Cervarix (the HPV vaccines), which are very new vaccines that were fast tracked for approval because they were just so effective. I only have a gripe over the unknowns like how long immunity will last. But parents will take that as an excuse to not vaccinate their kids until their kids have probably had sex, at which point it might be of reduced use as your kid might already have been exposed. Is that really something that should be acceptable?