Your baby is effectively like a normal newborn now and will feed on demand which he is doing. His weight seems to be going up nicely so he is getting enough milk.
Clean his eye with a little dilute salt water [a quarter teaspoon of salt in a cup of boiled and cooled water]. Wipe with clean cotton wool from his nose side outwards.
Your baby's rash sounds like a common rash called milia which appears at this age in many babies. Just clean his face with water only. The rash will clear by itself.
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