Your partner is being a jerk.
I may be way off track, but I get the vibe that there's more going on than housework issues.
Has your relationship been quite strained since DS came along? It sounds like you both need to find some time to step back and try to be the couple you used to be. Maybe you could do some nice things for him, and be extra sweet, just to remind him of how your relationship used to be, and then he'll realise that he also needs to put more effort in too.
Sorry if I'm off base, but HTH if I'm right.