The larger HDD will move into the working laptop and may boot but you will need the correct drivers for that laptop for the graphics, lan / wireless connection, soundcard etc. Windows may need to be re activated as well.
If you have access to an external monitor then you could plug it into the busted laptop and copy the files you want across to the other laptop.
Then I would format the bigger drive, pop it in the good laptop and install Windows from scratch. You can always get back to a working laptop by swapping drives around!