1
If you see a blue screen asking for a Bitlocker Recovery key when you boot up the laptop, did you check your Microsoft account on this link to try to find the associated Bitlocker Recovery Key.
https://account.microsoft.com/devices/recoverykey
2
If the laptop was purchased second--hand and you cannot access that device now, it is not possible to know if Windows will activate after Windows is re-installed, usually laptops have an OEM licence pre-installed by the laptop manufacturer and that is stored on the motherboard, so Windows would activate automatically any time it is re-installed.
But if that is a retail licence, the previous owner would have purchased it and that may be associated to their Microsoft account, especially if they purchased the retail licence form Microsoft.
The only thing you can do is to re-install Windows, ensure you install the same version (Home or Pro) of Windows, then when the laptop is connected to the Internet, check if Windows is automatically activated.