You are barking up the wrong tree.
Because Mac applications are sandboxed, issues with Preview (including feeding Preview files that are wonky) should cause Preview to "Unexpectedly Quit" and not restart your entire system.
This does implicate overall system integrity.
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Now back to your original complaint and diagnosis.
Error code -2003 is NOT a System Error, whose value you looked up.
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. We have seen -1000 to -6000 reported, often with a letter appended.
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.
If your Mac starts up to error -1008F
If your Mac starts up to error -1008F - Apple Support