is there a way to stop the debugger and immediately restart it with the same parameters?

usually i find myself steppping through code, fixing a bug and then wanting to run it over again to make sure it works as expected

sometimes this is a bit difficult since post may be required or someother user interaction, so it would be nice just to rerun the debugger

see menu Run->Parameters. It's where you can add necessary variables to be passed to your script via PUT, GET or COOKIE.
If you constantly run the same file, you may want to set it as "Default file to run" in the project settings.

Another way is just reload the page in the Output tab (even if it still is blank) or the external browser. If you did a POST, problably the browser will ask if you want to resubmit the data.