As someone already mentioned, it looks like your valve body is already damaged, so trying to replace the internal parts may not work. If it doesn't here's another suggestion.
I know it's frowned on by many on this forum (mostly those I believe who have never tried it), but it's possible to remove the "glued" end of your bad valve using a heat gun, a utility knife and a pliers. I've had success doing this type of rework many times.
You'd cut off the bad valve body just below the circular manufacturer's emblem. That will leave a ring of the old valve body still glued on the short pipe you want to save. Then with a utility knife you make a cut through that ring down to the surface of the short pipe (but avoid cutting into the short pipe), creating a "split ring". You then take a heat gun and evenly heat the split ring for a couple of minutes and then grab it with your pliers, right where you cut it, and peel it off the short pipe. You can then install an identical new valve (the one you bought for parts) and your back online with the exact same plumbing you have now.
Since you've got nothing to lose by trying this, seems like it's be worthwhile. If you don't feel comfortable doing this by yourself, ask a handy friend or neighbor to help.