R.S.
I think I'd probably change pediatricians. Yes, for awhile they were concerned that juice was a contributor to obesity in children, but that's more in older children who are already leaning toward heaviness. My son (19 months) only gets water and milk, sometimes a splash of juice in his water. But I only drink water, so I don't think of giving him anything else. And juice is usually packed with sugar.
Here's a good reference for vax: http://www.cdc.gov/vaccines/recs/schedules/child-schedule...
There's usually not a 9 month unless they're catching up on something else.