I was a teacher for 5.5 years, resigned in 2013 and went to another ministry to do training and development. Now i am going to another ministry to do investigation works, starting on mon. My degree is from SIM(unisim). I believe as a local grad u shld have no prob looking for marketing positions in another ministries but try to tailor ur resume such that it highlights ur strengths in this area.

The job hunting may take a while as teachers find it harder to transit but its not impossible, try to look for internal referrals from friends. All the best, i hope you find what you want.