Last week while downloading wallpaper from WEBSHOT DESTOP, my monitor flicked and all "red" color left my computer, even in accessories PAINT.   I now have black,white, purple, yellow, grey; but no RED anywhere on my computer.  The images are still clear, distinct and sharp, but no pink or red.   QUESTION: Is it hardware or software?

Sounds like a monitor problem to me. Just like a color TV, there is a "gun" that activates the red elements in the screen. If it quits working, then there is no red in the display.
Time for a new monitor. Just like a tv, it's cheaper to buy a new one than try to get the old one repaired.

   The monitor probably is the problem, but I would try a different monitor on that computer just to make sure that is the problem before you go off and buy a new monitor.  Or buy a monitor from a store that will give you your money back if it turns out not to be the monitor.