Sounds like the little pup has a lot of energy! How much excercise is he getting? Awful hard to nip and nibble when you are 'dog tired'

As was stated before, using the crate as punishment only shows that the crate is bad- and he is surely not getting his energy out that way either (same with swatting, creates fear and distrust plus these guys are pretty little and a small amount of force can be bigger than we realize). When he nips saying ow! Frowning and completely walking away and ceasing to give him attention can be really helpful to discourage nipping. If he left his litter mates prior to twelve weeks he may be missing some important development that happens during those weeks- like bite inhibition which I think peaks with siblings at nine weeks?
The groomer can be a tough one

if your dog isn't conditioned to being handled thoroughly as a grooming requires they can have a lot of challenges- and yorkies are high needs in the grooming department! Simple tasks like picking up and handling the feet, stroking the paw pads etc are things that would be great to work on but I think first thing is first: this little guy needs to get more excercise, have consistent and positive reinforcement training (time to you tube my friend!) and a more structured day/environment full of energy burning activities would probably really help. I look forward to hearing more about what a typical day for your guy looks like so we can come up with more helpful suggestions- you guys can make it through the puppy stage

I'm so glad you are seeking ways to help your little guy! Welcome to yorkie talk