What are your thoughts on the carving on the butt plug? My sense is that the script type looks correct enough, though I am always suspicious of deep carving/engraving with perfectly parallel sides, or a bottom that appears to be 'scooped-out', or rounded in appearance.
Your large horn has great symmetry and the practical details that you'd expect to have see in a horn that had provided actual service to its' owner. There's no doubt it was intended to be carried.