1. Can the internal dog's registers be configured multiple times?
2. Can the internal dog's registers be closed many times?
what module are you talking about? Do you mean Software Watchdog?
Which microcontroller you use?
What do you mean by "be closed many times"?
Please clarify points above.
if Core has access to watchdog registers (MAP0 bit in SWT_CR register = 1), you can set SWT registers according to your requirements. So, my answer is yes, you can access to SWT_CR register and change it how many times you want.