Is her old house in catchment for the school she wants? If so that's maybe why it's not sold yet, she can say max lives between both addresses with her and petr and that's his main residence he would still qualify, she probably knows maxs needs are not as severe as some others and she exaggerates everything in life for social media and attention and that's why she's worried about him not getting the place.
She does fuck all for that wee boy, she screams in his face like he's deaf,uses an iPad as a babysitter,uses food and treats as a reward like he's a dog, makes no attempt to teach him anything that would really progress him in life like potty training or speech therapy!
My friends have a wee boy similar to max, he's now 9 and thriving,they both self taught makaton to communicate with him, he was completely non verbal until age 5 but now you can have a conversation with him, he no longer wears nappys, be does attend a SEN school but has came on absolute leaps and bounds, my lovely friend dedicated her full days to educating herself on his needs and worked as a self employed beauty therapist when dad came home so she could spend all day learning and supporting her son and now he's thriving in life she has changed career and works with adults with autism.
Oh they also didn't use his autism as an excuse for any of his behaviors either, if he was doing something he shouldn't he got treated the same as his sister and told right from wrong and iPad etc removed if it needed to be, they dedicated everything to learning his behaviors and what was a typical tantrum or what he couldn't control so they could manage his behaviors and also help him manage them too.