That's OK.
OK (but it is 370,000 years after the start of the Big Bang expansion to recombination, not 370,000 years of inflation.)
There are ways of peering back before recombination, but not using photons. Primordial gravitational waves, relic neutrinos. The raw data isn't going to do you any good without the understanding of the cosmological models and the instrumentation.
So far JWST has seen galaxies back to about 300-500 million years after the Big Bang, well after recombination. The CMB shows us that the universe was quite smooth at 370,000 years old (1 part in 100,000 fluctuations, as I recall). It takes time for gravity to grow those small fluctuations into structure and stars to form.
The simplest model for dark energy is a constant ensity of "vacuum" energy. There are a few hints otherwise, but nothing solid yet.