Just a guess but it sounds like your halter is too big. A tw mare that I had was really quite dainty and I had to buy a cob sized bridle for her.
Try the next sized down from what you currently have with adjustable nose band..also, if you don't already have a bridle path cut, you might want to. It'll help to keep everything in place.
I know what you mean by "pointy head". My mare looked like she had a knot right behind her ears..part of her conformation and nothing noticable unless you really looked. She could be a real pill and marish a good part of the time and yup, I called her either Knot Head or Mule