Indeed first layer must have torn edges, or you risk line bubbles which are not nice. I would not risk the second layer either. After that, the problem is not so severe.
About ordinary polyester: This usually has a Tg of 50-60 degrees C or so.
I would recommend a high-Tg polyester or vinylester. What I recommend is a vinylester that has a Tg of some 110 degrees C. Also transparent, so you can chase bubbles. This will survive the high curing temperatures that might be achieved, especially when using infusion.
Oh, and there are also tooling resins which do not need the thickness to cure properly (free of shrinkage). Nord Composites RM3000 is one of them.