It could be stress from change, the throwing up might be from the travelling or it could be something more serious. You have to be very careful when they are that tiny. The move to their new home can wear them out but they bounce back pretty fast.
It might be hypoglycemia so the corn syrup was a good idea.
Hypoglycemia
You have to keep a close eye on her. Make sure she is eating and drinking throughout the day. She should be playful and then need sleep (like a baby) but not listless.
The boiled chicken and rice is fine. It's important that she eats.
If you think she might be sick don't wait to take her to the vet, they can crash very fast.
Welcome to YT and congratulations on your new puppy.