I bought one of these recently, smoked shoulder or something like that.  Given that it 'looked cooked', I just sliced it and figured we could eat it cold. But it didn't look particularly cooked inside, and was awful chewy.  So, I think I've screwed up. Given that it is now in slices, what can I do to avoid throwing it away (or having to eat it all myself because the rest of the family refuses to!)?   
That looks like a a fully cooked, cured ham.  These are salt cured, and so will have a pinker appearance, but are ready to eat.  They are perfectly safe despite the color.  Many people enjoy them better sliced thinly, so that they are not as chewy.    You can use the slice in sandwiches, or chop them as an add-in to soups.  You can just heat them up eat them as (I like them with mashed potatoes).  Ham is extremely flexible. 