Mazal tov on the birth of your baby!
Whether your clean days remain valid depends on a few factors, including the exact shade you saw (and under what lighting conditions you saw it) and length of time elapsed between urinating and wiping. For more details, please see our site's article "Toilet Paper."
Another such factor is whether you have a local irritation that might bleed. Given the pain that you experienced and that it is so soon after childbirth, it is possible that you caused yourself irritation. To rely on that for leniency, you would have to visually identify a lesion, have a physical examination to confirm the presence of one, or find blood on the same spot on a cloth repeatedly.
For the near future, you may omit the moch dachuk, since that may cause irritation, whether or not it has already. Please take great care to be gentle performing bedikot. Please write back with any further questions.