Yeah, I booked my way out there with BA with a lap infant with no issue, my Iberia PNR shows a lap infant. Now that BA fixed Avios transfers to Iberia I was looking at booking my way back directly with Iberia since J award space opens sooner with them but I am not sure if adding a lap infant will work with them. It would be cheaper to wait and book with BA costing more Avios but I just don't want J award space to be gone by then.