You should not have to do anything about your back hair. If you get rid of it while you meet a women you will have to keep doing it to hide the fact you have a hairy back. She should accept everything about you.
i would say yes you need to take those steps. it mainly depends on the back hair. if it is thick and very easily seen i would say 100% yes remove it. if it is light and not to bad u could leave it. also depends on the lady