Alright I finally got it to work.
I think the trick was to put "Ethernet 2" in quotations. I also perfected the YAML spacing and bracketed the two nameserver addresses.
Thanks for the help gentlemen. Final working network config:
#network:
version: 2
ethernets:
"Ethernet 2":
dhcp4: false
addresses:
- 192.168.1.30/24
gateway4: 192.168.1.1
nameservers:
addresses: [192.168.1.5, 8.8.8.8]
