Can sun exposure of uv index 1 induce wrinkles after retinol and AHA use?

Last month, I used retinol .05% and lactic acid 10% each once a week, on different days. On several occasions, I went out the next morning or day during a UV Index 1 day without sunscreen. Sometimes, I used an SPF 15 lotion, but I have read that these do not have coverage like sunscreen does. I have noticed new wrinkles under my eyes. Previously I only had very fine, and few, lines. Now there are many and my eyes look quite wrinkled. Can just these exposures induce these problems, so quickly?