Briefly this is all good, I will talk more about this later. The part about clothing fitting is important. The part about short hair is important. Dressing up a little is very helpful. I used to go to this one coffee place all the time, getting no real notice from the cute, college aged barista. Then one day I stopped in on the way to some business, wearing my business outfit of a collared dress shirt, gray slacks and black oxfords. She was all squealing over me.
Avoiding nerdiness is very important for omegas as you can’t afford anything that is going to instantly let people classify you as a low status person. Sticking with traditional business wear, not fancy but dressier than it has to be, should keep you in the safe zone.