In this question, the answer gives 5 meanings for な. But in 嬉{うれ}しいな, which is generally translated as "I'm glad" or "I'm happy", I don't understand what な stands for.
Since it's used to express your own feelings, I don't see how it could fit "seeking confirmation". I found elsewhere that だな is used to express "the speaker's emotion of wonderment or admiration", but again I'm not sure what that means when talking about one's own feelings. A sense of wonder about your own happiness?
By the way, I assumed だな is comparable to this な since 嬉{うれ}しい is an i-adjective and doesn't need です (basically 嬉{うれ}しいな ≈ 元気{げんき}だな in terms of construction), is that correct?