"Yet there were 15 000 deaths globally in 2013 from SIDS." --- The one factor in all of SIDS deaths, is that the child was vaccinated just hours or a day, before their injury/death, where-as they were healthy beforehand.
"Vaccines currently prevent 3.5-5 million deaths every year from diseases like diphtheria, tetanus, pertussis, influenza and measles." ---- No actual physiological evidence to back that statement up. Correlation is not causation.