Da Vinci 2.0 Duo R271/Extruder Issue

I've seen this issue being discussed before, and I wanted to make sure I got the most information before attempting to fix the problem myself, since I can't find replacement motherboards in the USA unless I contact XYZ.

A few months ago my boyfriend was cleaning the printer and the right extruder stopped heating up. From what I've seen on other posts, the printer is supposed to be off during cleaning because it might short it while on but XYZ fails to inform its customers.

I had ordered a new extruder thinking that was the issue, and because they had the new water-soluble setup that I wanted to try. The problem continued after I replaced it, so I called XYZ. They wanted me to ship the entire printer back to them since it is out of warranty, but I had already dealt with their slow response replacing the X-axis tensioner (I ended up buying a $17 3D printed version of that due to the wait).

It seems like I am at the point of needing to solder the R271 resistor and adding an inline fuse (??) to the wire after looking online for solutions. I am a novice at electronic repair, so I am not sure how to go about it. I bought a multimeter and soldering tool. Can someone let me know visually what I am supposed to read on the multimeter and where to solder the connections, or if there might be another solution?

The printer never showed an actual error code, it just sits at the resting temperature when attempting to heat it. The other extruder heats just fine, but they make it so both have to heat to use the printer. I can upload photos once I get home from work later this evening if needed.

Also, can anyone let me know what type of connector is on the end of the extruder wires? The new wires do not have the same connectors and I am wondering why they are much smaller than the previous extruder.