You could connect an ESP32 to the power and reset switches through opto-isolators or relays. You will have to do a little bit of programming, but you can host a website on the ESP32 that will allow you to operate the switches remotely.
If you want to get a bit fancier, you could connect the UART on the ESP32 to a serial port on the server through a TTL to RS-232 level converter and have a remote serial terminal embedded in the web page too. That won't do much good if the server is completely locked up though.