Since August 2019, Disk Drill is truly cross-platform, and you can use the same activation code on both platforms: Macs and Windows. Please mind the activations cap of 3 if you are a Disk Drill PRO user.
No, we do not recommend that. Just proceed with the scanning session that you've already started in Disk Drill Basic. Data recovery success hugely depend on how fast you act, the disk activitiy after the data loss and a number of other factors. Re-scanning may lead to a different list of recoverable items.
Disk Drill PRO can be activated on 3 computers (Macs or Windows) at the same time, while Disk Drill Enterprise gives you unlimited simultaneous activations.