Is the data corrupted already if I am being asked to format the hard drive? (the laptop suffered a power surge)
Probably not, data is a physical thing, and while instructions get messed up, you can usually still recover data.
Only one of the two hard drives seems to contain files, the other seems blank, is it possible that only one hard drive contains data, or is that damaged as well?
Could be any of the above, but its likely a bit of free software can repair the drive enough to recover the data.
Can the laptop be repaired in a shop without the two hard drives, do I need to buy new drives, or can the shop fix without the drives?
Hard drive shouldn't really be needed for repairing the laptop itself. Then again, if the hard drive is the problem - they won't see any issues with it.
If the data on the drives is lost, will I need to buy a new Windows software, is everything now potentially lost?[/quotemsg]
Naw, you should have a windows sticker right on the laptop. If it is Windows 10 you don't even need to enter a key if i remember correctly.