The word "말(이) 되다" is an idiom.
In Korean language, the word "말" has many different meanings. It means a word, words, phrase, sentence, or say, talk, story, rumor, gossip, etc. Thus, the idiom "말이 되다" means "to form a complete sentence" that is, "to make sense".
For that reason, "to make sense" mean "이치에 맞다", "의미를 이루다", "의미가 통하다" or "이해가 되다/이해되다".
그것은 뜻이 있나요? (or 그것은 어떤 의미를 가지고 있나요?)
그게 뜻은 있나요? (or 그것에 어떤 의미가 있나요?)
Does meaning exist in that? (Does that make sense?)
Of course, your sentences make sense. However, the word "뜻" has also many different meanings in Korean. In this case, the meaning of "뜻" should be used in the meaning of "의미".