Hi.Take the sim into a different phone and try it, just to male sure the sim is not the problem.If it's not the sim. Try clearing your storage on your phone or deleting old messages, if you're running out of storage it can cause that.
That would be the gateway address. If you're checking on mobile (assuming Samsung), go to your Wi-Fi > Settings > IP Settings (switch from DHCP to Static). Then you'll see the IP addresses.
That's probably because you changed the app's battery usage settings.To check this, go to:App Info -> Battery -> (change if it's set to unrestricted)The app will then show up in the list. Have it at optimized then go back to auto sleeping apps.