And is it possible to pause the unemployment benefit while traveling for a few months?
If you are an EU/EEA-citizen you have this right to transfer your Unemployment benefits between the EU/EEA-countries for up to 3 months.
But you must be aware that there are several requirements you must meet both here in Denmark (before you go to to the other country) and in the country you go to (after you have arrived in that country).
You can read about the requirements here:
Yes it is possible to come back to Denmark and receive Unemployment benefits for the rest of the 2-year period that you are allowed to have benefits.
However, If you do not find work, you must be back in Denmark, so you can sign up for your Jobcenter as unemployed before the end of the three-month period. This means that you must sign up for the JobCenter in Denmark no later than the last day of the certificate period. If you do not comply with this, you can not receive unemployment benefits in Denmark before you have worked for at least 296 hours within a period of 12 weeks.
Regadring your last question:
It is always possible to pause the Unemployment benefits. When the A-kasse have accepted your application for Unemployment benefits ("Dagpenge") you must use the 2 year period within a reference period of 3 years.
So within 3 year it is possible to pause Unemployment benefits.
To do this, you just need to give information about your travel plans (dates) when logged in to Jobnet.dk. Your A-kasse will automatically get this information from Jobnet.dk. You must do this at latest 14 days before your travel begins.
When you pause "Dagpenge", the period you don't spend will extend the 2 year period in the last end.
Anders Weber, www.a-kasser.dk