How do I get rid of these spots from my curry plant?
I think you have a scale infestation,and it's quite advanced unfortunately. It is quite difficult to treat on edible plants, but neem oil spray may control it. In theory, you should prune out severely affected branches, but this is quite a small plant and the extent of the scale would mean removing too much growth. Further information here https://homeguides.sfgate.com/rid-scale-curry-plant-35319.html