vaccine debate

I have a 5 week old and I've been all over the internet reading articles and watching videos on the pros and cons of vaccinations and I've always been Pro vaccinations because it's logical but I've come across a lot of articles and videos where moms lose their babies 3 days after getting vaccinations and the death reports are always that the child has died of SIDS which this now has me paranoid, so I would like to know what you ladies think and if you have any fears when it comes to vaccinations.