@Carson Kesner
I have rented to tenants who were divorcing. Here is my advice and some thoughts:
1) could you ask for his child/spousal support Order? This will tell you how much he has to dish out to his kids and Ex. This will tell you his true take home pay. His pay stubs show his gross pay.
2) You can consider him as high risk for reasons in #1 plus his current and upcoming attorney fees. Divorces can be expensive especially if there is a lot of drama.
3) You can collect First Months Rent, Second Months rent, Last Months tent and Double Security Deposit. This will give you a solid position if he defaults on your rent in month 4 or 5. Make sure your lease clearly specifies how these payments are being defined.
It seems he grabbed some money from from a marital account and is trying to pay off somethings. At the end of the day, there will be a discovery and it will be sorted out in the Equitable Distribution Order.
By the way, always be prepared to evict a tenant and make it real clear Security Deposits is not considered as rent and Last Months rent is for the last month they occupy the unit.
Good luck!