Q: How do i recover my login password for my computer?

MacBook Airs don't run Classic.  These two links should be helpful for it:

Apple Article to reset the password for 10.6.8 and earlier, and 10.7 and later.

Go to Apple menu -> About This Mac to find the operating system.

If you are totally locked out of the operating system, usually when you Option boot you can find out what you are booting if the machine can boot.