Hepatitis B and TB Test? HELP

Pamela • 2.12.17- Never in my arms, always in my heart.
I start a new job tomorrow as a Reproductive Health Counselor. I just noticed in my orientation packet that they want me to do a Hepatitis B vaccine and a TB test.
Is this safe during the first trimester of pregnancy?
I already know I don't have tuberculosis, but they want it done.