How MAJOR you think ? I have time estimation given by contractor to finish this work in one month.

Where are you located? Is your roof a redish/orange tone? You need to work with that and then improve your landscaping too. I think a Sage green color would be very nice. Maybe a light cream if you want a more yellow look. But not a strong yellow. Yellows get strong very fast. So go two shades less strength on yellows.

Ask your designer to generate color 3D renderings showing various options. Painting brick is rarely a good idea -- suggest you consider a light colored brick and mortar, or stucco. The elevations you posted are small and fuzzy Don't use brick on the first floor, just on the basement/foundation. Continue the same siding all around the house. Do away with the small roof over the single garage window. Your front elevation does not look like a front elevation, specifically the area outlined, and especially the door. Consider replacing the gable with a shed dormer similar to your second inspiration house above. Show us some larger, preferably perspective not elevation images for best suggestions. As for vinyl, it will always look like what it is, but it's a good choice for low maintenance.

Based upon what I’ve learned after using this site for about 18 months, in order to receive the most comments/suggestions, you really need to post more photos. People won’t be able to provide advice regarding the style of your new mudroom door without being able to actually view photos of your home.