How to darken / heal bright spots while retaining texture

[denzjos]

The full information was not on the original picture you scanned because the original picture was set on paper with a halftone dot proces print. Between the dots one can see the color of the paper (white in your picture). If one try to remove the white dots is the only solution to grab information (colors) from the pixels arround the white dots. The result is a less or more blurred picture because in most cases the colors who filled the white dots are a result of one or more colors (included in this case, the white dots). Make a few layers with the different solutions I mentioned in the post and try to get a acceptable result by playing with the different layers opacity. You can not restore the picture to the original drawing that was made for the magazine because information of the original drawing was lost by printing the magazine. 
More information : https://en.wikipedia.org/wiki/Halftone