So I got some HSR412s and connected them to my Christmas lights in a serial circuit. It worked great and as expected except for one caveat.... It was getting really hot. I realized I was putting double the rated current in and decided to go with a parallel circuit which could take more current.
I hooked up the wires like the picture said and when I plugged in the lights, they turned on, which is not what they should do when connected to these relays. I also tested to see if a parallel connection would turn the relay into the nominally open type, but that also was incorrect. I had my 6 and 4 pins connected to positive power in a Y split and had my 5 connected to the lights. I may have a misunderstanding of how a parallel circuit works but have no idea where I went wrong, and why the relays aren't working under my wiring. The datasheet is here.