OP:
Do you have a Mac of your own?
(not the one that's giving you problems)
If nothing else works for you, be aware that you can go on ebay and buy USB flashdrives that have a copy of the OS installer of your choice "ready to boot and go". Just plug it in and boot from it, then install the OS that way.
These sell in the $20 range.
I would try High Sierra (10.13).