<p>In this contributions we consider the averaging principle and the large deviation principle of the stochastic reaction-diffusion system with fast oscillation and non-Lipschitz drift of any degree in unbounded channel-like domains. First, the well-posedness of solutions is established using a domain expansion method. Then, the averaging principle is proved, while we give a proof of unique ergodicity of frozen equation in the case of unbounded domains. Furthermore, we prove the large deviation principle based on the weak convergence method. Since the key property of compactness embeddings of the usual Sobolev spaces does not hold in our situation, we establish the uniform tail-end estimates to overcome the difficulties caused by the non-compactness embedding.</p>