no he may need more... i have the list i found online ... it is as follows:
mumps, measles, rubella, polio, tetnus and diptheria toxoids, pertusis, influenza type B (Hib), hepatitus B, varicella, pnuemococcal and influenza
now I may be wrong but if you go to the us immigration website it will tell you what records you need... thats where i found my list... Hope this helps