What other browsers have you tried? Currently using Firefox on a Windows 10 desktop without issue to both access the MyCloud.com web portal and to access the WD My Cloud Dashboard on the local network.
When you use a browser are you accessing the MyCloud.com website if trying to connect remotely?
Make sure to update Microsoft Windows 10 with the latest updates. Microsoft released a fix to the Windows 10 Windows Explorer issue where it wouldn’t properly see the My Cloud under the Network > Computer section. More information on that issue and the update to fix it can be found in the following thread:
When your Windows 10 mobile device is connected to your local network (the same local network the My Cloud is on) you should be able to use Windows File Explorer to access the My Cloud and to “map” Shares from the My Cloud to your mobile device.