I have 2 boys, same age (brothers) ... one is 8lbs and the other 5lbs... when they were small (13 weeks) they got 1 vac at a time. A year later they went again and they got 2 vacs at the same time. One boy did fine... the other had an allergic reaction. I called the emergency vet, they told me to give him 2 mls of childrens benedryl ... I did and he was fine! It was scarey, but the emergency vet told me that symptoms occur within 4 hours... (dont know if that is true or not) but if hes fine in the first 4 hours he'll be fine after that.
good luck with your baby!