Self-employment Income

Hi! If I have two 1099-NECs from the same payer, one under my SSN for the first 10 months of the year when I did not have my business registered in my state (FL), and one under my business's FEIN after I registered my business in the state, do I need to report the income on a separate Schedule C? If yes, do I need to allocate the expenses by months? And how to claim Home Office expenses for both schedules? Thank you!