You could really do yourself a favor if you take soil samples and submit them to a lab for testing through your county extension agent. Take the samples first, then apply the fertilizer. I hope you are not planning to apply that entire bag to that amount of area at one time. If that is a 50 lb. bag, you would be applying almost 4 lbs. N/1000 sq.ft., which would certainly be highly excessive on your new sod. It should take you 3 seperate applications, 30 days apart, to use up that bag, if it is a 50 lb. bag. That would be more than enough N for the rest of this season in NC on new bermuda sod. After the first fertilizer application, you will receive your soil test results which will give you an indication of what is needed, or in excess, in your soil. That test result will guide you as to how to proceed with nutrient applications. After Labor Day, you will want to focus more on root growth and development for "hardening off" your bermuda for survival during the winter season. Stay connected on this forum for additional advice about managing your bermuda, especially during this first critical season.

It will be fine. As TW says, you can't water sod too much.
You will probably need to cut high until you get it level. That is the case with my new section of TifGrand.

At 6-1-1 ratio you will be fine as there is not enough Potassium and Phosphorus to hurt anything even if your soil is already rich with those elements. Just apply 3 pounds of product per 1000/ft2.

As for using balanced 3-1-2 or 4-1-2 ratios there a couple of schools of thought. Use it once per year either for the first spring application or the last fall application in lieu of a soil test.

If you have real sandy soil makes things a no brainier, you use 3-1-2 ratio once a year. You really do not need a soil test to determine if you need potassium an phosphorus or not because you will. Sandy soils just do not hold nutrients very well.

On the other hand if you have a heavy soil, you are best advised to have a soil test every couple of years and chances are you will not need much in the way of potassium and phosphorous. Nutrients with the exception of nitrogen in soil is pretty stable in heavy clay soil and do not leech or purge quickly.

Thanks for the helpful replies.
I knew to apply around 3 lbs. per 1K SF.
Soil is clay with decent topsoil laid down before sodding.
Hand pulling weeds daily-so far not too bad.
Would it be helpful for me to be putting down some sand in the gaps (although they are filling in pretty well) to keep the weeds down?
The lawn has aome slope on the side of the house and a drainage gulley along the street so I am probably not going to switch to a reel mower although I know that the rotary will limit how low I can mow.