Hi,
in your 4-6 months job search period, you can not get unemployment benefits. The job search permit only allows you to search for job, not actually work. If you find a job you need to apply for residence permit based on that job.
In generally as non-EU citizen its only possible to get unemployment benefits (“dagpenge”) in Denmark if you have a permanent residence permit.
Let me know if you need more help.
Best regards,
Anders Weber, http://www.a-kasser.dk