Phone remote administration by company

Unless they got specially customised phones from Samsung. Do a factory reset, that will wipe out any company apps and data, and check the firmware and Knox status, If it shows "OFFICIAL" and " 0x0", then you're 100% good to go.

 

When you want to use a work phone for personal usage, that may or may not be your best option. Did your company actually give you that previous Note 10? Or do they indeed own it and want it back after all your old data has been transferred to the new phone?
If it is still their property, and all their phones to have some kind of remote management installed on them, it's not a matter of your company 'spying' on your personal life, they own the phone and if they want to make sure staff use them just for work purposes that's not unreasonable. If that old phone is now yours though, than ask the IT department to release that phone from their remote management control.