I agree with Jim on disposal of the likely contaminated lye bath. However, before you do, you may get some lead-stripping effect by letting your mortar and pestle sit for a while, perhaps a long while, in a hot lye bath (not boiling) before you do. The longer and hotter, the better the likely effect. Lye won't hurt the iron. You may even wish to add water everyone in a while so the hot bath lasts longer.
If you do, please let us know if the apparent contamination is reduced, and so what extent. We would also like to know which test kit you use to get those results.
Good luck