Depends. What would your childcare expenses be if you were to be gone 5 days a week? (Assuming you work same days/shifts as your husband) This could easily swallow up a meager salary.
What kind of job would you apply for? Check Indeed and Glassdoor for median salaries in your area for a job you think might be realistic.
Compared a take-home of $14400 a year, there is a lot of room to improve salary, but you have to account for the fact that you're offering a benefit for your family in the form of caring for your child. Is there any daycare that lets you work there AND enroll your child? (Kind of like a reduced rate on childcare..?) Maybe that would be a thought?
He says he wants to work his entire life and get to spend his hard earned $. But as you can see I'm very serious for myself about FI
FWIW, my typical base argument against this is that you DO get to spend the money you earn...eventually. It sits around and makes more of itself, then later you can spend some of it - and NEVER have to worry about making more, since it'll "refill" itself. (That's the basis of 4% SW rate, for instance.) Why would I want to kill the money that I've worked hard for by spending most of it right away? It's maximizing the utility of your money and work.
I can understand why you want DH on board - I really do. But if he is as young as you, it may take him some time to come around. You can lead horse to water....
In the meantime, make sure you aren't taking a "morally superior" path or nagging. To those who aren't savers yet, it can feel like a real character judgement (especially if you think he's a "sucka"). To me, pursuing FI is a no-brainer, but it took me awhile to see the bigger picture. I wasn't "ready" for it yet and it was a gradual change, then a lightbulb moment. And also - there are some people who could 100% understand the logic, but still have no desire to pursue FI, and that's fine. But in marriage you're going to have to find a way to work as a team towards the same goals and/or compromise.
Lastly, I just question why you're saving up money for a car since you are a SAHM. Do you really need one?
It seems like your income is $4298 and spending is $2469. Not sure where your discrepancy is...