Change of Name. Help needed

[padmajas]

hi

I have change of my SURNAME to my husbands last name after marriage.

Should I apply for change of name in my passport?

If I have new LAST NAME(SURNAME) in my passport and my education certificates have maiden last name, will there be any issue in getting VISA and JOB?

I am planning for L1 visa from my employer in india or a H1 visa