Well, I agree with your objections as far as they go. But, they do not take into account how the poetry works, and you insist on a Western linear progression. What we have is an inspired text that gives us an outline and the order in which God created the universe that matches what modern scientists have determined.
A is sort of correct (if I understand your statement). Gen 1 does not “intend,” it is not an intelligent being. The writer had intent to teach. God had intent to teach. The writer probably had no idea his teaching would be used thousands of years later. God did, so made it usable to all generations by inspiring the writer and those who kept the text. When I first read your statement, I interpreted “elements” as in chemical elements, but I think you are using it to mean groups. So yes, the chronological order of the groups described in the poem do match science if read poetically and not linearly.
B is correct.
All the lineages of land plants start at one time to fill the barren land (water plants are not mentioned). All the lineages of land animals start at one time to fill the plant covered land. That happened with incredible speed (geologically speaking). The text does not need to specify that fungus were the first tall land plants or that the first land animals still needed water for their eggs to develop or that their lineages began in the ocean long before land plants. His point was that ALL the land plants and ALL the land animals were created by One God, a repeat of His creed.
The poet does name a few groups of plants and animals. These references are very vague large groups. The poets description of plants may seem to us a description of “flowering” plants thus out of order. However, it is more simplistic than that: fish swim, birds fly, and plants have seeds and fruit. Like sea animals, plants come in small and large sizes (tree).
Sea animals are grouped with birds. There should be lots of critters between. However, taken as a circular unit of poetry, the writer is repeating the creed from Gen1:1 with the added visual aid. From the bottom of the ocean to the highest flying bird, all animals are created by God. Putting land animals in the middle would have distracted from that point and mucked up the poetry.
Circular pattern is not linear pattern. They are interlinking circles. On day 5, sea creatures fill the oceans of day 2 and everything else follows, which includes birds that fly in the atmosphere created at the beginning of day 2. That is a circle. However, day 3 happens before day 5. Land plants fill the land of day 3, which comes after day 2 but before day 5. That is linking circles. He uses circular pattern to show the connections between these groups. Western linear progression simply makes progression simpler to see but the connections more difficult. All life came out of the ocean. The first to live on land were the plants followed by the land animals and humans.