I see you have not put in an option that incorporates the bottom four... which clearly discriminates against me, since I am a wolfdogbadger that murdered my family of wolfdogbadgers after being raised.
In all 'seriosity', my answer is...
Yes, of course they do. My brother is rather jealous for attention, so he always bugs me whenever I have friends over hanging out without him. In addition, my baby brother is... well... a baby, right?
Anyway, I figured I'd also point out that a family is singular, but family members are plural... it seems you got them mixed up in the topic title. The remedied sentence is "Does your family annoy you?" Alternatively, you can change it to "Do the members of your family annoy you?" Something along those lines should work.
Okay, sorry about that. Seeya.