Science and religion are two entirely distinct entities with no real connection. Some people say that they're just different methods of finding truth-each suited to its own set of questions (called Non-Overlapping Magestra). That is simply false. One is a method of finding truth while the other only claims to be.
All of our knowledge of the universe is via the senses. That is the foundational principle of all modern philosophy (It is what was called Empiricism to distinguish it from the Rationalist tradition it opposed when it began). This means we map the universe from how the universe appears to us via our senses; We use these observations to build our models of reality. As Kant pointed out, since we can only know things as they appear to us via our senses (rather than the things in and of themselves), anything beyond that is forever beyond the capability of human reason. Simply put, we can only know how things interact with other things; if it doesn't interact, we can't know anything about it or if it even exists at all. In philosophy, your arguments are based on premises that are derived from other arguments, observed, induced from observations, or assumed. Bad philosophy uses assumed premises. In good philosophy, you can trace it all back to that which comes to us from our senses. When an area of philosophy gets sufficiently good, we call it "science". Science is the perfection of philosophy. If we can have knowledge of it (remember that all knowledge traces back to observation), then it is within the scope of science.
Some people claim there are valid questions that science cannot answer; I disagree. For the above reasons, if there is a knowable answer, science can answer it. Said questions are usually of "why are we here?" and "what is our purpose?" and the like. As why is a question of intent of a causal agent, "why" is a silly question to ask if there's no causal agent. You have said several times that physics does not show that there must be a causal agent. Purpose is similar, though it is not quite the same. With purpose, you can divide into the intended purpose (which is roughly synonymous with the "why") and actualized purpose (which is how it is used). There are two main ways of answering these questions and both are scientific. One way phenomenologically and the other is behaviourally; We either ask the intentional agent and/or we observe it and it's interactions with the byproducts of the causal event. If there is no overall intended purpose due to a lack of a causal agent, that does not mean there is no actualized purpose. If there is no purpose from gods, then there is still purpose from humanity; your purpose is up to you.
Science is grounded in reality and it gives us a method of knowing. Science is checking your answers. Science is the best philosophy. Religion gives us no such method. If you think science cannot answer a question, then what possible reason is there to think religion could do any better? Science and religion are two completely antithetical modes of thought.