I just re-read your initial post again, what i’m betting happened here was that Continental leased you and they are planning on participating in the well, but not operating it. Continental would pay there proportionate share of the cost of the well and this other company would drill it.
Question 1). The company that drilled the well will be response for the division order
Question 2). If Continental did not drill the well, they will not have a role in the division order process
Question 3). There is not a general database for division orders, a division order should only be viewed by the operator and the mineral owner considering it shows what your proportionate share of this well is.
Continental will not be going to bat for you considering they aren’t the operator. Operators in North Dakota have 150 days (Essentially 5 months) to issue out payment from the date of 1st sales (which is usually a couple of days after completion), otherwise they will have to pay you 18% interest per annum until paid. With that said, if they completed the well in May (find the date of first sales), then they should be paying you sometime in October and you will generally receive a division order 1 month prior to payment.