We have decided to carry on our luggage and a personal bag. This will be a first for us.
The least we want after whatever time it will take to get the EES done, is to have to go look for our bags in another line and be told they cannot find it. We are not staying in Barcelona, we are driving to our first town 2.5 hrs away, so we cannot afford to have this happen. We return to Spain in October, landing at MAD. It's good to know we will not have to go through this again, or so we hope.
Thank you for all your replies!