The symptoms this man is experiencing must be his imagination. Vaccines are perfectly safe, especially the vaccines that use remains of aborted babies: http://www.cogforlife.org/vaccineListOrigFormat.pdf
As for getting a few at a time, that is usually not the option. As the mother of a three year old and and four month old, most vaccines are given together and there are no other options. For example, the MMR is only available as an MMR and not in single mumps, measles, and rubella shots. Finally, this man probably did get all of his vaccines and the Marines are giving him additional vaccines. It is my understanding that certain vaccines are given regardless of prior vaccination schedules.
Yes - sorry I conflated those who selfishly don’t get standard vaccines with a recruit who has to get extra vaccines.
Tsgt’s boy may be the latter.
It is unfortunate that some people have health issues that prevent military service.
But it is very good that we don’t make exceptions.