My question involves unemployment benefits for the state of: California

I started a job back in December which was about 3 miles from home. For the first 90 days I got at least 32 hours a week and my pay checks were good enough to survive on. After I pass my 90 day probation my job tells me they are forcing me to transfer to another distribution center 65 miles away from the one I currently work. They didn't tell me this was a possibility when I got hired. It would cost me $30 a day just to make it to work and back. I decide to try working at the new location but when I get there I'm only scheduled to work 2 or 3 days a week part time, getting me only 8 to 12 hours a week. So If I work the 12 hours I gross $207 - Tax - $90(fuel cost) - $60(Union Dues)= $42. So the most I can take home on a 2 or 3 day work week is $8 -$42. Some days I don't go to work because I don't have the money for gas. MY QUESTION IS: Should I quit the job and if I quit will it affect my unemployment? Also on the claim when It ask, "did you refuse any work" should I check yes or no? Though I am scheduled some days, I basically don't see any money on my paychecks.

I'm stuck between a rock and a hard place. I don't know the best way to handle the situation.