For work history, you don't need any documents for "past" jobs. You shouldn't lie, but they will not ask or require your old job related documents. You only need current Employment verification letter. As for birth, date of registration doesn't matter ( I did mine 1 week before applying). Just send notarized sworn statements from your mom, dad verifying the DOB. Also, include secondary documents from nepal or here which has your DOB. If the DOB is in BS also include BS to AD calendar and short explanation.