Yes, Microsoft provides a security baseline for Windows Home users which includes recommended settings to harden the OS. You can find the details in the Microsoft Security Compliance Toolkit. As for security auditing software, you can use the built-in Windows Security (formerly known as Windows Defender) for basic needs. For advanced needs, there are third-party tools like Norton, McAfee, and Avast. Unfortunately, there isn't a direct equivalent to Lynis for Windows.