Yes, the rc80 is an old 3600 stick remote, it's wifi. But now will need to know if the Roku itself is wifi remote controllable? So do you see a model number in darker text above the SN?
I will have to look when I get there. Visually it looks like a premiere. Are premieres IR devices?
All stand-alone boxes support IR. Sticks are WiFi only. Many models above the lowest Express support both IR and WiFi.
The premiere came with IR remote, but could be paired to wifi remote. The premiere 3920x model number is in bright lettering on the same line as the sn. Same for the 3921x premiere+. I own both, and I also own the IR only 3700 and it looks like yours, model number you can hardly see on the line above the sn.