I can imagine your situation and how it is overwhelming. Having a first child is so exciting, and people get obsessed with the parenting, obviously the kid get attached and expect all time service from parent.
You were providing continues services till the second child born.Once the second baby arrived, life turned too hard, as the sleepless nights increases, you seek some rest, but the older child can't digest the new change, so he refuses to do any thing though he is capable of doing them.
Next Steps
in this situation the kid may not accept any teaching. Tell him stories about great soldiers, and importance of being responsibil person. instead of comparing with other children, encourage him to help you in caring the second kid, appreciate his work. slowly ask him to help you in kitchen or other house hold things, praise him for even a small work.
Health Tips
Never compare a child with someone.