Q: Apple TV pause

Please check the items here Get help with AirPlay and AirPlay Mirroring on your iPhone, iPad, or iPod touch - Apple Support

It sounds like you may be experiencing WiFi interference, see Potential sources of Wi-Fi and Bluetooth interference - Apple Support

How does the ATV work using its apps to access the internet?

Here's how to identify your version, Identify your Apple TV model - Apple Support

Are you streaming a file that is on the MBP, or video from the internet?

If you still have a problem, please describe the problem in more detail. Software versions on ATV and MBP. Program on the computer. Network setup: all WiFi, single router connected to internet, or something more complicated.

5 bars says that your WiFi signal is strong, but gives no information about interference. Get a WiFi "stumbler" program for your Mac and see how strong the nearby networks are. You may need to change channels on your router, or switch to 5 GHz if possible. Did this use to work? If so, it's very likely interference from a new source. Check the items in the link I gave before.

You said you are streaming right from the MBP, but is the actual file stored on the computer?

I don't recognize the model number, but by the software it may be ATV 2.

What is the MBP OS version?