What recommended products for the above?
Definitely a daily sunscreen, probably one with mineral filters so you don't get the eye stinging. Potentially, a mild vitamin C serum could also help (something gentle like https://whatsinmyjar.com/product/cerave-skin-renewing-vitamin-c-serum). Also using a moisturizer with niacinamide is useful.
I've just bought Dr Vanitta Rattan dark eye lightener. Let's see if it really works. It's very expensive.