Yes.
In general, you can deduct mortgage insurance premiums in the year paid. However, if you prepay the premiums for more than one year in advance, for each year of coverage you can deduct only the part of the premium payment that will apply to that year. Report the deduction on line 9 of Schedule E.
PMI
Please see this link for CA nonresident tax returns. You may contact your employer to find out why you have CA income.
CA NR