Roger Penrose suggests patterns before the "big bang" are observable is my interpretation of what was said between him and Melvin Bragg on a Youtube clip.
I don't see what the infinite sequence of contingency buys you. Seems you might as well say there is fundamentally no reason why anything is (though I think that's untenable).
"What it buys you" suggests that we should assume reality is fundamentally organized for our convenience or comfort, or to avoid being too challenging to our intellectual powers and/or beliefs.
By introducing the concept of reasons into the discussion, you seem to be adding a new dimension of purpose to it (unless you are using 'reason' as a synonym for 'cause', but if so, it would have been clearer to stick with the latter.) Your belief that the universe has a purpose (if that is what you are saying here) does not logically compel anyone else to accept a first cause.
Update: In your view, there is a hierarchy of causes of something, the first of which is necessary and the rest of which are contingent. Therefore, the second cause was contingent. This implies that the first cause made a choice between which of the second-cause options obtained. But as the first cause had a choice, then it could have gone another way, so it was contingent...
