On the second thought - something is wrong. While for sure OH- from water autodissociation have to be taken into account (it may not play substantial role, but 10-7 is not far from concentrations you are getting, so it is worth a try before deciding if it should be ignored), its presence should lower solubility, yet your notes state that the solubility is higher. Again, as in the case of the lead iodide solubility - this is not an impossible result, but a lotdepend on the model used for calculations.
And general approach to calculations in such a case should be to take all equilibria into account (that is, Kw and Kso), write all mass balances, charge balance - and solve, checking what approximations can be made.