Rawhide kills. It is too easy for a dog to rip a piece off, swallow it, and then it swells either choking the dog or blocking its intestinal tract. Please do not give any dog rawhide ever. I base my advice not on the experience that any one person can have in a lifetime, but on the advice from a large dog guide school that supervised the care of thousands of dogs over their lifetime. They have long forbid all rawhide, and now ban ropes. If you love your dog, stick to sturdy stuff including Nylabones and Kongs.
The chewing can be solved by keeping the dog in the crate when you can't watch it. Accidents and damaged possessions are the fault of whoever was watching the puppy at the time. When you are watching it, immediately correct it as soon as it goes for anything except its own toys. In a quiet, but firm voice ''Bad dog, its name drop!''. Gently remove what ever and replace it with one of his toys, or if older, hold eye contact until the puppy drops it. Eye contact is very important in maintaining your position as top dog.
Having a good pack structure reduces such problems. The dogs see all the
people and dogs in the household as a pack with each having their own rank in
the pack and a top dog. Life is much easier if the 2 legged pack members
outrank the 4 legged ones. You can learn to play the role of top dog by
reading some books or going to a good obedience class. A good obedience class
or book is about you being top dog, not about rewarding standard commands with
a treat. Start at
http://www.dogsbestfriend.com/.
If it is having soft stools, restrict its diet to the same dry dog food and little else. Sudden changes of diet cause intestional upsets. If it continues to have loose stools, have the vet check it. No amount of training will fix a physical problem.
It sounds to me like the pooping in the crate is a form of protest if they are well formed stools likely he could have held. It is a very effective form of protest. Fortunately, it is summer time and you can haul the crate outside and hose it out. To otherwise reduce the mess, remove any bedding you have been using. A wire rack in the bottom will help keep the puppy up out of
accidents at first. They are available with the crates, but a piece of closely
spaced wire closet shelving from a home supply place is cheaper. The rack is more effective with urine, but stools will also push down through before making too much of a mess of the dog. When he sees that the pooping isn't working, he will decide to keep the crate clean.