Authenticity check for Razer mice

I recently purchased a razer deatheradder essential from online platform from a china based seller. The price is a lot cheaper than retail MSRP. I yoloed anyway since it's cheap and even it turns out to be fake, I don't lose as much. ($13 USD) These are the few ways I checked, is it good enough to justify that it's an original product? 1) check for signature green USB plastic 2) upon plugging into pc, look underside, ensure you don't see any red laser sensor with naked eyes. 3) Synapse app detection of mice 4) Under device manager, it should display as a razer mice, not any other generic usb compliant mice 5)Register serial no. via synapse 6) Pry open the mice to ensure the chip used is not the cheap component. I didn't carry out step 6 as I think it will be too extreme. It passed all 1-5 checks, does that means it's genuine?