Hi and welcome to YT

- and bless your heart for helping this little one live without its Momma, poor little thing! It must've been SO much work, my gosh.
Okay, first things first....she should *not* have been given any vaccines whatsoever until she was at least 8 wks of age. Any vaccines given prior to that are basically totally ineffective due to the immaturity of her immune system. So, now, due to being given too early...she will need a total of 4 sets of vaccines, rather than just the 3 sets....which is too bad bc you really want to give her little body the least amount of vaccine possible.
Here is a thread that has the proper schedule (by AAHA, which all good vets follow!) of vaccinations:
http://www.yorkietalk.com/forums/yor...-overview.html
As far as the dandruff, it's probably just some puppy dandruff that will go away over time..so I'm not sure I'd do to much about it to be honest. Perhaps as a pre-bath, put some coconut oil all over her skin, wait 10 mintues, and then bathe. You could also add a little bit (VERY tiny to start!!!) to her food too.