You sunlight intensity probably is not that high right now as apposed to the summer, but better to be safe. Also the glass in window could magnify sunlight.
Just leave the paper there for reduced length of time for a couple weeks. Could be less, but it will not hurt to be cautious.
Yes, there is a person that acquired quite a few trees from same source as you did. I am happy for both of you, as I believe you will enjoy them. Nice to have a larger tree and your seedlings coming up behind.
Rick