You need to speak with the attorney who handled the probate estate or a tax pro because you have a complicated split basis.
Your husband's basis would be the 1/2 of the FMV of the house in 2011 and then the buyout of $245,000 but also the $30,000 (plus your share of the contents) needs to be added to the basis if the house was sold with the contents. You would also add the improvements - rehab price of $150,000 - to the basis.
