Facts are good.
As for the CDC report, no pattern does not mean no cause-effect relationship, just that one has not been consistent.
I think there are two points of concern with any vaccine which must be weighed against the risk of the disease: squalenes and thimoserol, the first, to induce a stronger immune response, may be linked to the sudden rash of peanut allergies, the second, a preservative containing mercury may be linked to neurological deficits. There is also always the risk that the person receiving the vaccine will be allergic to one of the components therein, and could suffer adverse effects.
I think it is for the person or the parents in the case of a minor, to weigh those risks and decide.
This is no area for government mandates although some are generally accepted before entering school. 'Herd immunity', the phenoenon that a majority of the population being innoculated will prevent the spread of the disease and thus protect those who are not innoculated may work to a degree, but again is a risk the parents/individual must weigh in making their decision.
Since HPV is linked primarily to behaviour, that risk can be behaviourally mitigated as well.