Does anyone know where the heck these came from? These tiny little white specks didn't always appear on my plastic material but now they do and I cannot make them go away O.o
Any advice??
Those are known as 'fireflies' and they are problematic with certain materials, especially when using physical lights.
Try making sure your specular is never set to 100% white (something that will help reduce these).
Also, Esben Oxholm has made a video on how to reduce them in photoshop with some easy filter work.
https://www.youtube.com/watch?v=XeZSUR-_Svw