Your right to receive dagpenge for a 2 year period based on your graduation is valid for 3 years. So you must use your 2 year period with dagpenge within a reference period of 3 years.
1) when you are on dagpenge, you are free to take as much holiday (in any country you like), BUT you can off course not get dagpenge for the holiday period. You must inform Jobcenter (Jobnet.dk) at latest 14 days before starting holiday.
2) If you decide to quit a job yourself, you will get a quarantine for 3 weeks, because of self-inflicted unemployment. But depsite from that, you will continue on dagpenge, where you left, before you got the job. Its still the same dagpenge-period (as new graduate) you will be using.
Anders Weber, www.a-kasser.dk