1. when you apply for work Visa in India, you will be required to give details whether any court case is pending against you or are you convicted of any criminal offense
2. for the above you can write a 'no'. However do disclose about this bank issue and explain saying that the communications were sent by the bank to a defunct email which you had been using and you learnt about the same only when you revived that email, however you are not aware whether the bank has initiated any legal proceeding against you
3. if the amount due to the bank you can also state that you are ready to pay the bank its dues or pay a one time settlement amount
4. if you show the willingness to pay and clear the bank issue then I do not think that your visa application will anyway be affected
5. the key is to make full and true disclosures and not to suppress anything
6. it will be very difficult to procure any information about any potential action which the bank may have taken against you
7. i suggest you write an email to the bank informing how you learnt about the bank emails to you and that you are willing to settle the bank's dues through a one time settlement amount and request bank to close the matter. This will clear your way for the visa application and it shall go through unhindered