Well, yes, because it permits you to seek better employment from a position of already having a job but looking for better wages or conditions of employment.

Yes - take it. Some income is better than no income. Plus, it's easier to get a job if you are currently employed. Take it, work that job until you find something better - and use the "currently employed" status from the minimum wage job to find a better job more easily than if you are unemployed with no job.

are you collecting unemployment - you will lose that if you are and the time and flexibility to look for a better - being unemployed in this economy is not looked upon as a bad thing so much any more.

yes