Here's a weight chart I use, yours isn't registering on here though.
Puppy Weight Chart
The vet can tell you when she needs her shots, and I would think they would be starting them. I got my first yorkie one day shy of 7 weeks and it seems like the shots started at 8 weeks, if I'm not mistaken.
Sounds like your baby is doing great, the thing with her wandering you want to watch, is that she doesn't chew on any cords, or that your kids don't wake up in the middle of the night and maybe step on her. Good luck
with her