Do you suppose he's trying to claim that the tools were stolen in order to get some money from the homeowner's insurance? If the tools that your h claims were stolen are the ones you bartered w/, be honest w/the investigator and tell him you gave them away since they were in your possession and that your h had walked away several years ago and had not indicated any desire that he wanted them.
Your h is out to get money any where he can and still stick it to you whenever he can. Heather, you can try to be nice to him, but until he's settled down, he's going to continue to bite the hand that's being nice to him. You can't trust him. Don't let your guard down.
Sit quietly, the answers will reveal themselves when you least expect them to. The past is gone, the present is a gift and you need to focus on today, allow the future to reveal itself when it is ready.