Can i apply for a work permit to the uk after a 2 year ban? [migrated]

On the 1 may 2016 i left the uk volintary but the home office paid for the tickets to go back to my country, its been 7 months since the ban had been lifted and i am planning on restarting my life in the UK in the next 2 years. Note i entered the UK when i was 8 years old and my dad and sister applied for a right to remain but i think they overstayed and then applied for it so 10 years later after i turned 18 the home office denied us and then we were asked to leave. So we decied to leave volintary but home office paid and because of that we ended up with 2 years. So will any of this effect me applying for a work permit in the UK in the next 2 years?