You are being completely unreasonable.
Let’s put it another way - count up how many hours your contributing to the nuclear family needs and ensure both of you are doing the same. Anything other than these are choices. When does your DH get to visit his parents and do volunteering?
Don’t know your numbers, but something like:
DH: Travel and work time - 9 * 5 = 45 hours
OP: School run twice a day = 5 hours, Housework & Shopping = 10 hours: Total = 15 hours.
You have a lot more to contribute to the family before you are anywhere near being reasonable in wanting more time taken out of DH time that is not shared. At the weekend, he probably should have a full day to do his hobbies and the other day shared family time and it would be reasonable, but he’s still the one missing out. When you start working again, you'll bad able to recalculate and make sure you make up the hours.
When your in the family home, you should never expect the family to be boxed in - it's a delight that they want to be with you, and its a shame you can't feel that way.
As you seem to record married life like a spreadsheet, I’d suggest you both work part time 2.5 days per week, and do shopping/housework alternate weeks. Remember to request leave and get it signed in triplicate; maybe a clocking in and out machine would make sure everything remains fair.