Holding the EOSB by the bank after changing jobs

Hello,

I have a loan with a local bank and I just changed the job with a better package.

But unfortunately, the new company is not listed with the bank and my EOSB is on hold. In that context

1) My new company is listed in an international bank. Can I arrange a direct debit option?

2) Can my existing bank deduct the upcoming EMI from EOSB's?

3) Will there be a travel ban if my payments are regular to the bank?

I have a loan but not transferring my salaries.