As the edit limit ran out
See Item 12 on the Counselor Report of Birth Abroad form
http://www.state.gov/documents/organization/156216.pdf
your statement
The best way to demonstrate the 5 years residency requirement is by taking the Social Security Statement that the Social Security Administration sends every year, showing how much you earn ever since you started working. If you don't have that statement you can always call them and they will fax it to you.
I don't know why you are writing down every trip you had ever taken outside the USA! If the embassy requested you to track your trips outside the US is because you have never filed your taxes, because otherwise you would it had presented them your tax records of the last past 5 years before your kids birth abroad, which is more than enough proof.
From the checklist
The U.S. citizen parent/s must present his/her U.S. passport. If the U.S. citizen parent was
naturalized he/she must bring the original Certificate of Naturalization in addition to the passport
(original and two photocopies).
The U.S. citizen parent must bring proof of the years he/she has lived in the United States prior to the
birth of the child. Primary evidence that
may establish your physical presence in the U.S. include:
Social Security statement available online, school transcripts, tax records, military service records,
former and current passports with entry/exit stamps.
From the form
http://www.state.gov/documents/organization/156216.pdf
Items 12 and 13.