1. Am I allowed to work in government bank in non-Muslim country (India) in usury related jobs like cashier officer?
2. I have pending fasts (due to negligence) of childhood. Do I have to pay kaffarah and fidya both?
1- If your job involves usurious transactions and the party that pays the interest/usury is a Muslim, it is not permissible to work in that job.
2- You can offer a fidyah (if applicable) and Kaffarah anytime, provided that it is not delayed to the extent of negligence.
[According to the opinion of Sayyid al-Sistani]