What a cute little girl you've got there.
I recently adopted a 6 year old dog, and have learned ALOT in the process.
A dog cannot simply be moved from one home to another without experiencing stress, they aren't a piece of furniture. The amount of stress depends upon the dog, but all dogs, when uprooted from their "pack" experience it. My vet has told me that it takes a dog over 5 years old at least 6 months to adjust to their new surroundings and mostly forget their old one.
Your dog has only been with you a week, that is very early in the transition. It may be following you everywhere and clinging to you, which may make you think "look, he just loves me so very much." She does love you, but is clinging because she is confused and afraid of this big change in life.
As for the littering problem, you will unfortunately have to expect some of that behavior. This dog was housetrained in it's old home, not in yours. You will need to teach it how to be housetrained in your home. In the morning when she can no longer hold it and pees on the carpet---when she gets up in the morning, don't let her four feet hit the floor, immediately pick her up (she looks small enough to carry out to the yard?) and bring her out to the yard and have her out there until she pees, and then congratulate her alot, and even give her a treat for performing outside. If she has an accident inside, do not scold her, say a simple short phrase like "Eh" to get her attention, gently pick her up and bring her out to the yard and when she's out there tell her she's good, even though she's probably already done what she needed to do.
Your yard is a whole new, unfamiliar world to her, she needs to learn to be comfortable there. Take her out to it ALOT, like a ridiculous amount of times each day. Stay out there with her, play ball, sit with her, help her make it her home land.
Be patient, a little tinkle in the house is not such an awful thing and it won't last forever. Make sure to clean up any accidents very thoroughly with a cleaner meant for cleaning pet accidents. And, as she adjusts, limit her access to the house, keep her gated in the area where you usually are--in our home that meant we had gates that confined the dog to the kitchen and family room, where we spend 90% of our time. After he was here for 2 months, we removed one gate to give him access to our home office, and he learned to be comfortable there. Bit by bit he learns the ways of the house and how to get around it.
As for the injury from the crate, did she come to you crate trained or are you just now using a crate for her? If she was not crate trained, all of a sudden locking her in a crate and leaving her will bring on problems for certain. If she was not crate trained, I would recommend that you gate her in an area of your kitchen, with her bed in one corner, tinkle pads in another and he dishes in another corner. Leave her with a few toys, a treat filled kong, things like that to occupy her time a bit.
With all the changes she has had, it would be unfair now to suddenly start locking her in a crate when she is used to freedom. If she did come to you crate trained, and it appears that she is experiencing stress when you are gone, she is probably having some separation anxiety due to the move. The dog I adopted is crate trained and has had off and on terrible separation problems since he moved here. His world has been torn apart by his separation from his original family, and here he is in a new home and new family, and when we walk out the door it's overwhelming for him. He's been here three months and this anxiety is starting to dissipate, but I can see it's going to take some time.
If she was crate trained and seems absolutely frantic in the crate, you may want to consider changing her routine to be gated in a small area, as I mentioned above.
Be patient and understand that although she can't say to you "I'm stressed and missing my old mommy and home," know that she is very stressed out. Although you may be tempted to have her original family visit her and think that will comfort her, don't allow it. Each time she sees them and then sees them walk away and not take her with them, it will be like starting the transition all over again.
Best wishes and check in and let us know how you are doing.