Hello, and welcome!
As far as the display issue goes, it seems likely to me that the IRIX configuration on the systems is simply using a resolution or refresh rate that your monitor doesn't support. If you have a serial or serial to USB cable available, you should be able to get a prompt from the system that way. Assuming you're able to log in as root (or boot the machine to single-user mode), you can use the following command to set the resolution to something your monitor can handle:
Code:
/usr/gfx/setmon -x 1024x768_60
For the network side, IRIX uses a number of configuration files to set its IP address, DNS entries, etc. If the system isn't explicitly configured for DHCP or is looking for it in the wrong place, it won't grab an IP and you won't be able to connect.
The ping command in the PROM on SGI machines uses an outdated echo protocol for ping, instead of the now ubiquitous ICMP echo response. Very few things these days will respond to it properly.
That said, you should be able to get an IRIX network installation going without any issues as long as your environment variables are set correctly. I recommend using Booterizer for the installation:
https://github.com/unxmaal/booterizer
If you have any further questions, we're all very happy to help!