Everything Finola said. The way he behaved was totally unacceptable and pathetic, but the fact that he is a Dr makes it miles worse. If anyone should be able to deal with some vomit and poo and understand the need for phones to be off during a counselling session, it's a bloody Doctor!
Your depression could well be based in part (or even its entirety) due to his shitty attitude. Does he see all the housework and all the childcare as 'your' work? If he has suddenly turned this way, or get worse than he was about housework, etc., that coupled with the massive life change of having a child, must have really destabilised you, made you doubt yourself, feel invisible, worthless, question your own status and abilities, etc.
A grown adult who can't put a bit of washing on and deal with their own sick child is not fit to be a partner or parent, IMHO. Before anyone says that he's 'only a man', a woman would just not behave this way. Apart from how fucking cheeky it is to keep calling you during your session, it says really negative things about his parenting; he should want to look after and care for his own child, especially when the baby is ill and he is a bloody Doctor!
I think your PND is not just about hormones and the shock of a new lifestyle. Your Dh sounds really selfish and unsupportive. Defo sounds like he seized this as a way to sabotage you. You should being this up with your counsellor at the next session. So sorry you have to put up with this.
Even if you were about clubbing, it wouldn't mean you don't qualify for some time to yourself! Your son has 2 parents, both of whom should be fully capable of loading the bloody washing machine and comforting a poorly child. Particularly the one who is a trained medical practitioner. Your oh is an arse. A selfish, pig of a man who should know better and that it is imperative that you attend counselling for your own well being. I'd wager that it is not PND so much as depression brought on by living with a git who treats you like crap, if this is indicative of your relationship overall
You keep up that counselling and stay strong in the face of his twatittude. Being pro counselling in theory but then supporting you when it's actually happening are two separate things. The first is him feeling good and magnanimous about himself for helping you and you taking his excellent advice, etc., etc., and the second is about him not wanting to actually put himself out and literally support you in getting that help, not wanting to do childcare and housework which is clearly beneath him. The two both point to a self-centred man.
That's really, really awful. No wonder you are struggling, PND or no PND, it sounds like there is a pretty unfair division of parenting responsibility going on. I hope you aren't shouldering too much of the responsibility for your own difficulties - I think anyone would be struggling to deal with that kind of shitty attitude from the other parent.
also, did you then clean up/put the washing on? If so, why? You should have refused, if he can practice medicine he can working a washing machine, any excuse is exactly that and quite frankly, disguisting behaviour to boot. What this says about his thoughts and feelings towards you and his child is scary.
There are serious issues here, make sure you continue with counselling preempt all his sabotagging efforts and please, please do something to help yourself out of this horrible situation.