The first creative day say absolutely nothing about the sun already existing.
You are completely ignoring verse 1:16, on the fourth day:
The definitive word here is "MADE".
Made, as in "to create" or "to make". God made 2 great lights, which is the sun and the moon, on the fourth day.
This translation that i used, is from JPS (1985); the other translations - KJV, NIV, NRSV, etc, all use the word "made". With KJV and NIV, god also "made" the lesser lights - the stars - while JPS and NRSV were more implied.
Your claim that the sun, moon and stars were already made on the first day or before it, but this is mere speculation, nothing more, because 1:16 contradict your baseless claim.
I did not misinterpret anything here. If anyone is misinterpreting anything or making things up, then I'd suggest that you look at yourself in the mirror.