FD continuation after passing away of Primary/Sole holder.

Hello,

'H' & 'W' are senior citizen Husband & Wife.

'H' holds bank FDs jointly (either-or) with 'W'. The maturity dates are couple of years away.

'H' also holds Post Office SCSS account as sole holder with 'W' as Nominee. The maturity date is years away. 

'H' passed away.

1. Can 'W' continue the FDs & SCSS without breaking, with same holding pattern?

2. What about the Tax Liability on interest earned in subsequent years?

3. Is it mandatory to inform bank & PO about the passing away before maturity?

4. I read Banks or Post cannot force Premature Closure due to death of primary/sole holder. Is it correct?

Thank you for your time.