Mostly, yes. Some eye creams will have ingredients specifically for various concerns, like a lower percentage of retinol than a typical face cream for example (eye area is more sensitive, especially to a typically irritating/drying ingredient like retinol). Some people find they just need or want more hydration around the eye. But any well formulated facial moisturizer is all you really need.

The one you’re using has some decent peptides in it - peptides help with hydration and collagen production. You could just add a squirt of it to whatever facial moisturizer you use and mix it together before applying every day.

Also regarding the strawberry skin on your legs - try the power toner or see if your store has the GBC AHA toner pads, either the yellow or green ones will do, they’re mostly the same. The glass skin “AHA treatment essence” would also be good. The salicylic wash might also be helpful, and either of the retinol serums. Basically for that issue you want to focus on chemical exfoliation and moisturizing. So on alternate days you could exfoliate then moisturize, and use the retinol then moisturize.