I'm not going to repeat your math here, but typically sq. footage is based upon exterior measurements, not interior measurements. The interior walls and doorways will take up space. For example, imagine a basic 20 by 40 ft. rectangle. The area is 800 sq feet. Once you deduct for just the interior walls around the basic rectangle, you're down to about 770 sq. feet if you do 2 x 4 construction. I also don't notice any space for kid's room closets. Is that included in your measurements?

No. Google calculating square footage and then click on the first "non advertised" link....you just type in your measurements then add them all up....you have some cutting to do to make it fit:) Good luck--I'm in the same boat now.

For circulation and wall thickness you need to add anywhere from 35% to 70% depending on wall thickness (exterior and interior) and if the home is an open concept or not. It also makes a difference if it is an upscale or a modest house. Upscale house use galleries and hallways that are very wide.
It is not the same if the exterior is all brick (about 12" thick wall) than if you are using a 2x4 wall with vinyl siding (about 4.5")

Your spaces total 2116 s.f. (I used 70 s.f. for the kids bath.)
That only allows 18% for hallways and walls.
You need to give the architect a chance and see what he comes up with.
If you see wasted space on his preliminary sketch, then you can talk to him about it.
You did not include the kidâÂÂs closets and linen closets.
I suggest you to be a bit flexible with the dimensions. Sometimes 11x12 works better than 11"-6"x11'-6".
Keep in mind that carpets are 12' wide. You make the rooms 11, you are wasting materials but you are paying for the waste.

Square footage is, at beast, a gross metric for cost.

Kitchens can be scary expensive on a square foot basis.

Bathrooms next.

The living room, dining room, and bedrooms look very inexpensive per square foot.

Layout is far more important than raw square footage.