Roth IRA 60-day Rule

Let's say I withdrew $50,000 from my Fidelity Roth IRA to my Fidelity checking in December 2022; one week later in December 2022, I withdrew $100,000 from the same Fidelity Roth IRA to my Fidelity checking. Now assume I feel regretful taking both money out. I want to use 60-day rollover rule to deposit as much money back to my Roth IRA as possible.

Questions:

1. Can I deposit some money to the same Fidelity Roth IRA account in January 2023? Does the cross-calendar year hurt? Do I need to open another Roth IRA to deposit the money?

2. What's the maximum amount I could deposit back? $100,000? Or $50,000+$100,000?

3. The two withdraws qualifies for early distribution for qualified educational expenses/house purchase. My concern is: if I deposit back partial or all of the withdraw, will cross-year tax filing be filed in 2023 or in 2024?

 

Thank you!