Reinstall MacOS after Erasing data

What is the exact model of your laptop? You can get this information by entering your serial number here or here.

What version of macOS was on the laptop?

Try a PRAM Reset (hold the PRAM reset for at least three chimes or a full minute if possible).

Try connecting the laptop directly to your router using an Ethernet cable so you have a faster more reliable connection and to bypass any possible WiFi issues.

Are you using a standard home Internet connection using a Cable modem or FIOS?

If you have access to another Mac you can create a bootable macOS USB installer.

In Internet Recovery, these low negative thousands error messages indicate that your provided Wi-Fi Network is inadequate in some fashion, and cannot be used (for this purpose) in its current state.

Common problems include:

Hidden Network-name

required use of a proxy server to get Internet access

required use of a login page to get Internet access

Use of a login server or certificate to get Internet access

Use of PPPoE in the Mac to get Internet access (typically only applies to DSL)

Use of Fixed IP address rather than good old DHCP

Variance of the time by more than five minutes

Failure of Router to provide workable DNS server addresses, or providing 0.0.0.0 [may produce -2002f]

If you have an Ethernet port, you may in some cases be able to move your Mac close to the Router and connect to the Router using Ethernet.

The higher the number, the more obscure the problem.

If your battery was completely depleted, the Date&Time could have reverted to the default, which will not work. There is a terminal command to reset to current Internet Date&Time -- post back for assistance.