If I drop a class, will my offer of admission be rescinded?

For my first semester of senior year I am taking Honors Anatomy, AP Chemistry, and Spanish 3. For the second semester, I am continuing AP Chemistry (full year class), and starting Honors English 4, AP Calc AB, and Honors Spanish 4. I am struggling in Spanish 3 right now, so if I dropped Honors Spanish 4 second semester would Ohio State rescind my offer of admission?

No.

Call and ask them

They wouldn’t rescind your admission if you change your schedule, only if your grades severely drop.