Hi Bro... my suggestion is don't go full-time... I know the situation same some of my friend faces already... according to that experience "don't go" .. 1st point your fake resume..someone saying the background check is minimal, that is not true... contract position background is minimal but if you apply or go for full time then background check is deep, once they know that you got this job by fake resume, you might get more worse situation. That's happen too... also depend on company how they react, that might may take it seriously too make you blacklist... so think twice whatever you want to do. Now you have at-least 2 years exp and you learned the work as well.. better try another company.
I am not saying this all just like that, it is all from someone experiences... Good luck and take care.