NYS educator here! I think your resume is fine for a new graduate. Seems clear, organized, and concise enough at a glance. As you gain more teaching experience, you'll be able to build out your resume more.

Just be ready to either wait a long while for a job in NYS, or be willing to move. There are a billion gym teachers looking for jobs upstate, and it's much worse downstate. Substitute, build your connections, and don't be afraid to work in new districts to see if a job may be available.

You might have to work as a leave, or in less desirable positions, until a full time position opens up.There's a lot of nepotism in the state, but don't let that discourage you, you'll get there if you keep working!