Different last name.

Polina • Got married in Oct, 14. Jointed Glow in April, 14. We are having baby boy due Oct 1st.
Hello ladies. So I did not change my last name when I got married. I am pregnant and I am okay that my child will have my husband last name only. My question is, do you ladies know or have heard of mom having trouble at places like hospitals or airports if the child has a different last name? Thank you for your input.