In case there is any type of file corruption on the Forerunner 645 Music, I would like to attempt the following steps with the Forerunner connected to your computer. Please be sure to follow these steps AFTER you sync your device with Garmin Connect to ensure no activity data is lost:
Windows:
1. Press the Windows and E keys on your keyboard
2. Open the Forerunner drive
3. Open the Garmin folder
4. Right click and Delete the Activity, Apps, Newfiles and WiFi folders
5. Empty the Recycle Bin
6. Safely eject your device from your computer
Mac:
1. Open the Finder
2. Open the Garmin drive under Devices
3. Open the Garmin folder
4. Drag the Activity, Apps, Newfiles and WiFi folders to the Trashcan
5. Empty the Trashcan
6. Safely eject your device from your computer
Please unplug the device from the computer, turn it off and plug the device back in. Remove the Forerunner from Garmin Express (Home screen of Express > Forerunner 645 Music > Tools & Content > Remove Device) and then add it back. During the set up, attempt to add your home WiFi network again and test. To rule out any type of signal interference, turn the Bluetooth off on your phone to make sure the wireless syncing is only working via WiFi.
If the issue persists, I would recommend attempting to set the device up with another WiFi network. If the device is able to sync without issue via another WiFi network, we can pinpoint where the issue is.