Success here using this tutorial to upgrade to an Airport card that supports 802.11ac/BT4.0. It took 30 minutes, and with the upgraded card I can now unlock my MacBook Pro with my Apple Watch.
As Alan mentions above, some of my App Store purchases have prompted me for my AppleID password. The bigger correction was that upon starting up my computer I had to System Preference >> Date & Time to update the calendar and clock. All I had to do was click the lock at the bottom left of the dialog box, enter my MacBook Pro password, and it auto-updated.
Then to get it to recognize my Apple Watch I went to System Preferences >> Security & Privacy and checked the box for “Allow your Apple Watch to unlock your Mac.” Then I clicked the lock in the bottom left to lock it, quit out of System Preferences, and I was good to go.
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