How does Psalm 19:4-6 say that the sun stood still?
It doesn't. Then again, I never said that it did. Psalm 19:4-6 demonstrates the geocentric assumptions of the Scriptural authors.
Do we not to this day speak of sunrise and sunset?
Yes. And it is scientifically inaccurate to say as much.
Habbakuk 3:11: Considering the context, this may very well be figurative language.
But how can you tell without reference to scientific observation?
The Bible says in several places (Genesis 15:5; 17:7 and Hebrews 11:12) that the stars in the universe are innumerable- meaning that no human can physically count all of the stars. Counting 1 star per second 24 hours a day would require 3000 years to count the estimated 1 billion stars exist just in the earths galaxy.
I'm afraid I don't see how this relates to the scientific accuracy of the Bible (in fact, there are a finite number of stars). Furthermore, why do you not also assume the Scriptural authors were not being metaphorical here?
Isaiah 40:22 speaks of the circle of the earth, implying that the earth is spherical in shape at a time when the earth was thought to be flat.
A circle is a 2-dimensional object. That is to say, it's FLAT. If Isaiah meant to refer to the earth as a sphere, he would have used the Hebrew word for "ball" (duwr), which is used elsewhere (not in reference to the shape of the earth).
Matthew Maury, an American naval officer who sided with the South during the Civil War and then became the founder of the Confederate Navy read Psalm 8:8 The fowl of the air, and the fish of the sea, and whatsoever passeth through the paths of the seas, and started looking for these paths through the seas. As a result he sent out expeditions designed to find and map these paths. In the process he founded the science of oceanography, for which he wrote the first textbook.
I'm uncertain what this has to do with biblical cosmology/cosmogony.
Job 38:6 mentions springs in the seas.
Where? Job 38:6 mentions cornerstones and foundations, not sea springs.
For what it's worth, Job 38 also mentions the fact that the earth was formed like clay stamped under a seal. But you take that metaphorically, right?
The Bible also knew about the water cycle long before it was supposedly first described in the 3rd or 4th century BC:
I love Ecclesiastes 1. It lends excellent biblical support for uniformitarianism.

(For what it's worth, the Bible also says that rainwaters are stored in the "storehouses" beyond the firmament, released upon the earth only once the "windows of the heavens" are opened.)
The Bible also shows an understanding of contagious diseases and the necessity of cleanliness in various passages in the Pentateuch.
The Bible implies numerous times that disease is a result of demonic infestation, rather than bacterial or viral in nature.
Considering how accurate the Bible is as a scientific record in other matters, what makes you think it cannot be equally accurate when it addresses the issue of Creation?
But that's just it. The Bible
isn't entirely accurate on scientific matters (for example, 1 Cor 15:40-41 states the sun is not a star). And nor does it claim to be. Why attribute something to the Bible that it does not attribute to itself?
When God inspired the writers of the Bible, He uttered spiritual truths in spritual words (1 Cor 2:13). To argue that He was trying to convey secrets of science is silly.