By bark box you mean an electronic bark collar? Never used one personally and seems to me that would be a last resort thing. If you have a puppy who barks too much, what triggers it and what do you do?
Chewing, all puppies do it. Allow for appropriate chewing. Restrict access to shoes and other items that ought not to be chewed. If she gets your shoes (or whatever) you failed her by giving her the opportunity. Put them up. Teach take it and leave it and other ground rules.
Also you are not her "mommy." You are her owner and her leader.