Congrats on having a new cage setup. I really don't want to discourage you at all about your setup. It looks like you've put a lot of effort and time into this, but, there's a few problems and I think you're going to discover them over time.
The first thing that seems off to me is the shelving. Solid shelves are usually not that thin. Your chinchilla is going to chew through these rapidly. If they are laminate board/plywood that is not safe for chinchillas.
The plastic bottom is not usually compatible with chinchillas, however, looking that the bar spacing I think you'll be okay as long the chin doesn't find an edge on the plastic to chew on. If he starts shredding the plastic I encourage you to find a cage that is of all metal construction.
The plastic tunnel probably won't work for you. Chinchillas are notorious for destroying plastic, and it has been known that plastic causes fatalies in chinchilla by obstructing their stomach and intestines. I recommend using a fleece tunnel instead, however, with fleece items some chins will destroy them. If you see that happening cease using fleece in your cage. It is rare but can be hazardous if the items get damaged or fleece is ingested in quantity. I recommend removing this immediately.
The water bottle may be okay. This cage does have unusually narrow bar spacing and that may prevent them from damaging it through the bars. Glass bottles are recommended. My chins chewed through a plastic one before so make sure to check the level each day (with is good practice anyway) in case they get to it.
Make sure they have access to food and water. I did have chins where one did not leave the other one alone, it started losing weight, and I separated them. They were very aggressive. I tried to introduce them again and they started pulling fur and it was coming out in clumps, which is a danger sign. When fur flies it's time to separate them. Years later they are much more ameable towards each other if I put them together in the same space but I'm still going to keep them separate.
Have fun. Looks good otherwise.