11 weeks is really tiny for more than looking cute, peeing and pooing
Congratulations and thank you so much for your service! I've never served in the military but I have experience ptsd and depression, if we take real good care of ourselves we can overcome anything!
As with all things, it takes time and keeping our mind on moving ahead and not dwelling on the past. I too bought a yorkie as a therapy dog, although I'm not sure how to make him an official therapy dog. My husband told me I wouldn't be able to but who knows...
It's really important, to not drive yourself crazy with letting your new puppy potty on any carpets or rugs that will hold the odor. Any chance you have tile, wood floors or vinyl that would be easy to clean up messes? Puppies/dogs like to go and do their business in the same spot. I bought a bag of disposable adult bed sheets, they can also be used as a diaper, they were a lot less expensive than puppy pads. We stayed the night in a hotel, a month ago, I put the pad on the floor and he just went potty on it without me encouraging him. I left the potty on the pad so he knew to go back there. That would be the first thing you want to do that would be helpful, I think. It's a lot easier to throw away a pad than have to keep cleaning carpets and messes up off of the floor.
If there's any chance you have a small soft sided crate or bag that your puppy could sleep in by your nightstand, that way you can get a good nights rest. I just tapped the side of the bag if he made noises before I was ready to get up. Never had an accident in the bag. Dogs don't typically like to soil in their beds. The puppy is going to want to be with you all the time, so will want to see you, even in the bathroom!
They like to be held and sleep a lot on your lap
I encourage you to brush your baby out everyday so he doesn't get tangled up and put him on a harness/leash and take a little walk for 5-10 a day. Are you able to walk or wheel your puppy?
Usually dogs have a pretty short attention span, 5-15 min a day training should be plenty. We've done some training with a military/police dog school for personal protection and we go over an exercise everyday but not for longer than 15 min. It's important to keep training fun
Welcome to the forum and when you can, post a picture of your new baby!!!