I normally need to access to the routers to change or set something up for them and that can be done but painfully slow through the Pi
So, from your home PC you can access your parents LAN...
From what you describe it is working, LAN to LAN.
With regards to speed, that can depend on several things.
Your up/download speed
Your parents up/download speed
Pi not that powerful
and some more.
See solar inverters manual on how to change language.