If you want lifelike result, you need to recreate your scene as close to real life as possible. Mirror is almost never just a perfectly polished sheet of metal, usually it's very thin sheet of metal behind a sheet of glass. This tiny detail makes very little difference in most situations, but sometimes, when there's two or more mirrors in front of each other, and/or when they're viewed from very close, the way they're made makes a big difference and it's very important to replicate their construction in your scene as close as possible. I added thickness to the glass and assigned simple glass material to the front and side walls and red tinted perfect mirror material to the back wall and result is much closer to what you may expect to see in real life, i think.
Another issue with your scene, is that it's completely out of scale, unless you're trying to render the mirrors that are rivaling Eiffel tower in their size. Always try to make your scenes as close to the real world in scale as it's possible, otherwise you risk to run into all sort of issues sooner or later.
An lastly, your Max's gamma and LUT settings are wrong. It is highly recommended to setup them correctly when working with modern renderers like Corona and using industry standard linear workflow.