In Australia, the HPV vaccine is compulsory (or so my understanding is from a friend who is a step parent there); they are on track to eliminate cervical cancer by 2035. In the US, there is a cohort of parents who are unable to come to terms with the fact that their children might partake in sexual acts as they mature/come of age don’t support or encourage getting the vaccine out of promiscuity beliefs. It’s deeply frustrating there is such a low cost and effective preventative for so many types of cancers (cervical, throat, neck) and we are our own worst enemy in deploying it. The rest of your points stand boldly and clearly.

https://www.health.gov.au/ministers/the-hon-greg-hunt-mp/med...

https://www.thelancet.com/journals/lanpub/article/PIIS2468-2...

https://www.sciencedirect.com/science/article/pii/S009174352...

https://www.cdc.gov/cancer/hpv/statistics/cases.htm