You may want to add another layer on your upper body. I usually wear a short sleeve jersey under a base layer with a second longsleeve jersey on top. You may want to add a layer that is heavier than the Underarmor base layer depending on the wind speed. I have an Underarmor long sleeve shirt that is pretty light.

I'm not sure what you mean by a bombers jacket as a wind breaker. Is it a brand? A 'bomber's jacket' used to be a fleece lined leather jacket used by crews in WWII high altitude missions in unheated aircraft. But I wouldn't necessarily suggest them for bicycling.

Not all 'wind breakers' are equal however. I find that higher end bicycle specific jackets like the Pearl Izumi Zephyr do a better job of being wind resistant than jackets you might buy at Dick's Sporting Goods or HelMart. They seem the same but the function differently.