Of note is the address "46 Branchland Court" instead of "14 Branchland Court". Cole probably forgot where Barb lived after finally escaping and the USPS had to infer it after finding out there was no 46.
Sounds like a line from ForJuliesEyesOnly...I just can't quit I just pump and pump until that's all there is
I think the fact that Cole won't let Chris or Barb near his children is evidence that he has become a better parent than Barb ever was.
Considering not wanting to be near Barb and block Chris, one can consider Cole doing it right after the emails he got from Chris, when the latter wanted Cole to vote for him in a Parappa contest even though Cole wanted information from him about his own father.Chris really doesn't realize that Cole doesn't want to be anywhere near a pants shitting narcissistic idiot and his psychotic, (narcissistic) senile mother. I'm pretty sure Cole has Chris blocked from everything and deletes/blocks anyone that mentions Chris.
Considering not wanting to be near Barb and block Chris, one can consider Cole doing it right after the emails he got from Chris, when the latter wanted Cole to vote for him in a Parappa contest even though Cole wanted information from him about his own father.
Chris would no doubt believe whatever Barb told him about Cole's dad, either because Chris wouldn't care or he'd think she'd tell him the truth. Adding to that what you mention, Cole would have another reason to block Chris, his own half-brother either doesn't care or just believes whatever Barb told him.Not only that but then there's the things Barb has said about Cole and lied to his face countless times for no real purpose other than she likes to lie and manipulate people. That probably sealed the deal.