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Originally Posted by LuvDogs102

Dog always shivers alot what can we do to reduce the shivering or to sensitize her to what makes her shiver so much?
You say she is new to the family, you have to realize everything, everyone is all new to her, if she is a rescue you don't know her past, what she went through, what her fears were then if any,she needs time to get use toher surroundings, new ppl. I have to assume you now have her over 6 weeks, she should be a lot better now

Why does my dog always want to be where i am laying down or sitting down on ? Seems you are the care taker, you are the one that feeds, trains, walks, praise her, gives treats, spend more quality time with her.Yorkies are very clingy dogs, love to be / needs to be very close to their humans, you are the one she trusts the most, bonding with you must always remember she comes with a history that you will never know. Love, and lots of patience are the key words when you rescue. Take pride in knowing "you belong to her".

How can we train her and certify her as a mental health service dog?

I am not very knowledgeable on how to get clarification for this, but, she must respond to basic commands and to be able to "focus" on you and your commands, not be distracted by things going on around her. If she will not go to your father when he calls her, will not allow him to hold, touch her, she is not ready for any kind of service dog.

Originally Posted by LuvDogs102

Why does she bark and growl all of a sudden at nothing for the first time?

Dogs have a keen sense of hearing and smell, they can hear things humans cannot, this is normal, nothing to be concerned about.

Originally Posted by LuvDogs102

My dog a yorkshire terrier would not allow my Dad to pick her up nor would allow him to call her to him and she wont allow others to do the same ethier but would allow me to do all those things .Why is this?

Again, if she is a rescue it will take her time to gain trust in all ppl. Again, she came to you with a history (baggage) that you will never know of. Have you dad offer her, her most favorite treats, do not force her to go to anyone she is not comfortable with. Have them completely ignore her, she will go to them on her time, her time, have them armed with treats, reward with treats when / if she comes to them, have them make no sudden movement towards her, try having your Dad sit, ignore her, not look at her, put her favorite treat a few inches from your Dad, if she goes for the treat your Dad is to ignore her, but you praise her with "good girl" continue doing this around your father or anyone she seems Leary of. Again, patience is major, she will come around, but it will be on her terms and her time. Never force anything or anyone on her. Again, you have had her at least 6 weeks now, things should be a lot better.