doctor inducing me

I was due last week and have an apt tomorrow afternoon with our OB. I need him to induce me because 1 my grandma is having major hip surgery on the 19th and she will be in a hospital rehab for two weeks and I won't be able to bring him to her while in the hospital so he will be like three weeks old by the time she sees him plus she needs my moms help but I need her help as well and she can't help us both. 2 my MIL leaves the week of the 19th as well for Texas for a week for work. And 3 my little sister has to go to UC Davis (3hours away) for heart monitoring because she has Down syndrome and a heart problem and my mom will obviously be taking her. Do you think with these circumstances he will induce me within the next two days? He already told me he would talk to me about the possibility of being induced because I am over due now at our Monday apt. I didn't want to be but really need to be for family reasons.