What is the exact model of this laptop? You can get this information by entering the system serial number here:
Check Your Service and Support Coverage - Apple Support
You need a good fast reliable network and Internet connection to use Internet Recovery Mode. If you have problems with Internet Recovery Mode using WiFi, then try connecting the laptop directly to the router using Ethernet (and any necessary adapters).
In order to create a bootable macOS USB installer, you will need access to another compatible Qualifying Mac. A Qualifying Mac is one which is compatible with the OS installer you are trying to create. You can see which versions of macOS are compatible with various Apple hardware using this article:
https://eshop.macsales.com/guides/Mac_OS_X_Compatibility