I find it really disturbing that people think it's okay to lie to your spouse, so they won't make you feel guilty for not pulling your weight at home. Have I wandered into the 1950's by mistake?
If I had taken a day off and not told my spouse, I would feel wrong, sitting on my arse, doing sweet FA and knowing that when they got home after a hard days work, that all the shit work would still be there for them to do at home. I'd want to spare them that and the fact that your partner doesn't give a shit about this suggests to me that he is a selfish arse.
There is nothing wrong with wanting a day off, but there is plenty wrong with casual lying and active deception. It shows that he is willing to be manipulative in order to get what he wants irrespective of whether that is good for you too, and that is not a good trait in a spouse.
The password thing also upsets me. There is a difference between having passwords that you haven't mentioned to your partner and actively preventing them from knowing your passwords. Him logging on for you, rather than just telling you how to log into his account, indicates to me that he wants to keep things from you. Casual lying is a sign of disrespect.
Refusing to post your parcel, when he was in the post office anyway was just cuntish. Even if he wasn't specifically going there, he ought to have done it for you because he is your partner and it would have helped you.
He doesn't sound fully committed to you imo. The comment about the dc was shitty. He may not be happy, but I don't think you are either. His right to happiness doesn't outweigh yours.