Praise be to Allah, the Lord of the Worlds; and may His blessings and peace be upon our Prophet Muhammad and upon all his Family and Companions.
The fact of residing in a Kaffir country with your two young children without a guardian like a husband or a father, involves a lot of serious and apparent matters.
In addition, it is not permissible to reside in a Kafir country except for a necessity. Working in your country is difficult but not impossible. Allah, the Most-High, has decreed that if somebody leaves something for His sake, then He will recompense him/her with something better.
Allah Says (interpretation of meaning): {…And whosoever fears Allâh and keeps his duty to Him, He will make a way for him to get out (from every difficulty). And He will provide him from (sources) he never could imagine…..}[65:2-3].
Therefore, we advise you to go back to your country and seek employment there to provide for your kids, and Allah may bless you with a husband who will take away that burden from you.
Allah knows best.