Stop your dog from Jumping, Training your dog not to jump See if this will help you out with the jumping. This is something that has to be done consistently.
The tearing things up if it is when he is alone leave him with a kong with frozen peanutbutter. I saw a recipe of mashed dog food a little peanut butter and a little water to form a paste and then they stuffed it in the kong and froze it( this was to reduce the calories from the p.butter) Also if he is teraing up things when you leave You are not supposed to tell him good bye or make a big deal of it when you leave or when you come back.
Separation Anxiety, My dog has Separation Anxiety
I hope these links help you out. ps it is very nice of you to keep the dog, border collies are very smart dogs and really need to be exercised and played with. It would do you good to read about them eventhough every dog of thta breed is not alike it will give you good insight of some of their behaviors.