Provided that you are not giving any personal information away, and are not expending any money, you could continue to check into it, I suppose? I would be super cautious, and I am sure you will be too! BOTH parents are coming to work, but only for 2 months? Seems a little odd. Don't work permits cover an international visitor for 6 months? Why would you travel across the globe to work for such a short period of time?
In any case, good luck!