AirPort Utility: Not Installed

Forget your Wi-Fi network then reconnect

1. On your MacBook, go to System Preferences > Network.
2. Click on Wi-Fi in the sidebar, then Advanced… in the bottom right.
3. Select your Wi-Fi network in the list and delete it using the Minus (–) button.
4. Click OK, then Apply.
5. Now reconnect to your Wi-Fi connection and enter your Wi-Fi password.

Make sure your date, time, and location are correct

1. On your MacBook, go to System Preferences > Date & Time.
2. Click Time Zone and check the box to Set time zone automatically…
3. If your MacBook selects the wrong location:
   1. Go to System Preferences > Security & Privacy > Privacy.
   2. Select Location Services in the sidebar.
   3. Check the box to Enable Location Services.

Disconnect all your USB accessories

USB devices and other peripheral accessories connected to your MacBook should have shielding. Unshielded accessories can interfere with your MacBook’s Wi-Fi or Internet connection. 

Unplug everything from your MacBook: mouse, keyboard, hard drive, etc. Then try connecting to the Internet again. If you can get online now, one of your accessories is causing the problem.

Reintroduce your USB accessories one at a time to find the troublemaker.

Create a new network location

1. On your MacBook, go to System Preferences > Network.
2. Open the Location: drop-down menu at the top of the window.
3. Select Edit Locations… and use the Plus (+) button to add a new location.
4. Click Done, then Apply your new settings.

Remove Profiles from your MacBook

1. On your MacBook, go to System Preferences and look for a Profiles option.
2. Remove every custom Profile.
3. Restart your MacBook and try to connect to the Internet again.

Reset your network preferences

This resets several settings on your MacBook, so make a backup first. 

1. On your MacBook, click on the Desktop to highlight Finder.
2. From the menu bar, click Go > Computer.
3. Navigate to Macintosh HD/Library/Preferences/System Configuration.
4. Delete the following files (you might not have them all):
   1. com.apple.airport.preferences.plist 
   2. com.apple.network.identification.plist
   3. NetworkInterfaces.plist
   4. preferences.plist 
   5. Settings.plist

In addition to the information that has already been provided, AirPort Utility is in fact installed on your Mac. You can verify this as follows:

Finder > Applications > Utilities > AirPort Utility

Even if you wanted to, you cannot install an older version of AirPort Utility on your Mac, so you can save yourself some time if you do not even try to do this.

My advice would be that you need to forget about AirPort Utility for now and get WiFi working on your Mac. When WiFi is working on your Mac, then you will see an AirPort router......if you have one.....when you open AirPort Utility.

Your problem is not with AirPort Utility. Even if you could install another version of AirPort Utility on your Mac.....(you can't)......this would not help with the issue of no WiFi on your Mac.

This is going to be one of those times when you don't really know whether you have a hardware or software issue until the problem is resolved. Make an appointment to take your Mac into an Apple Store or take it to an Apple Authorized Servicer.

AirPort Utility is working fine. When your Mac is working, you will see an AirPort device if you have an AirPort device. In other words, your issue is not with AirPort Utility.

Click on "Turn wifi on" in the wifi menu.

I notice in your screenshot that the wifi service is missing from the left pane in network preferences.

Click the (+) icon at the bottom of the left pane and try to add wifi service.