Yes, the butt end should be wider.
The lower horn should be smaller. Cover up the lower horn with some paper and then step back and look at the overall design and try to picture the lower horn.
Here's what I do (for all my artwork, be it wildlife, portraits, or designs).
Take a blank sheet of paper and cover up half of the shape and reshape the exposed part the way you feel looks right. For example, first cover the upper half, and reshape the lower half. Then cover the lower half and reshape the upper half. Then do the same with the right half, then the left half.
After you've done that, then cover up quadrants of the design and do the same thing you did in halves. Cover the upper horn quadrant with paper and redo the lines of the other three. Then cover the lower horn quadrant, etc.
If you don't cover up the part that seems "off", the existing lines will prevent you from really "seeing" the way it should look. The existing lines will trick your brain. But with it covered, it allows you to imagine how the the design should flow into what is covered.
Pay close attention to how the lines flow into what is covered. By breaking it up into smaller and smaller sections, you first get an overall feel for the whole shape, and then little by little focus on smaller areas and how they flow into one another.
When you are just looking at it in it's entirety, it's hard sometimes to know what exactly is off and you end up changing it all (one part at a time), over and over again, without ever being satisfied with it.
And probably the easiest little trick is to look at your design in a mirror. After looking at your work for so long, you stop being objective about it. Looking at it in a mirror makes it appear to be a new design, as if someone else did it. VERY EASY way to quickly determine things that don't seem right. Also flip your drawing upside down as well. Doing those two things alone will help immensely with your design.
