no-not all bucks will shed there antlers. this is rare but every once in a while there will be a buck shot who hasnt shed its antlers. they r called cactus bucks? and cant be allowed into pope and young i think.

Yes and Yes.

Deer will lose their horns probably 95% of the time.In the case of inbreeding:
Wild mountainous,free roaming country,it would be rare to inbreed.
Now on the other poker hand[no pun intended]:
Here it is:Take the state of New Jersey for example.The middle of the state used to be nothing but farmland 20 to 25 years ago.Now there are people moving here from N.Y. City[1 1/2hrs away],Philadelphia[right next door],some from Deleware and some from North Jersey.Which = a ton of building houses, condos,townhouses,and businesses.Which =deer being pushed around to live in these 25x25 acre lots[if their lucky].The bucks breed the does,the doe has two or three fawns,mother gets smashed by a Mercedes, or shot by a hunter in time.Now THATS when the inbreeding starts.Theese fawns make their circle from plot to plot,and we all know how a buck acts in rut when a doe in heat is around.So I would have to say 50-50 on this subject.[Whitetail right? lol]
If anybody from N.J. reads this reply,Im writing this about Burlington Co.
You would probably only agree with me after reading that anyway!!