[alfl]

Congratulations! Sounds like a stressful situation. In my opinion:

It sounds like you need a break and need a bit of a mental adjustment: you've likely spent a decade being undervalued (new hires almost always make more than long-serving employees).

Take what pat leave you can, max out vacation time, and sick days if you need to, decompress, and adjust to being a dad.

As soon as you feel ready, talk to management / owners and express these feelings. You'll get good feedback either way. Your goal is either to take a sabbatical and come back refreshed, with a raise, or take your notice period to find a new job.

Maybe it's time to move into management or shift into something slower, like government. Maybe it's time to move nearer to family -- grandpa and grandma might enjoy helping with childcare.

Calm down, face your fears, and change what you need to change in order to take care of your responsibilities.

Best of luck!