The answer depends somewhat on the terms of your lease agreement. If there are specific terms in the contract addressing the method of calculating costs, and his obligations to repair any damage, then those terms may impact just what and how much you are entitled to recover.
In general, however, you would be entitled to recover the reasonable costs incurred in returning the premises to the condition that it was in when he took possession. It appears that this would include (1) labor and materials to repair the shoddy dish installation (and possibly for removal and re-installation of the previous dish), (2) labor to clean up the dog poop, (3) labor and materials to repair any damage to the flooring, lawn and/or patio caused by the dog, and (4) either the cost to replace the trees or the value of the mature trees (see a landscaping contractor for both).
If the damages are high enough, and the ex-renter refuses to pay, you may want to consult an attorney about your options, which may include bringing him into court for breach of contract and property damage. Good luck.
Answered on Feb 19th, 2013 at 11:36 AM