Shipping is very traumatic for animals, especially those prone to stress such as chameleons. Because of this it is usual for them to not eat for even a few days after arriving.
However, to compensate, a responsible breeder will have made sure that he was sufficiently fed and hydrated prior to shipment. This way he will be fine not eating for those few days.
Because of the age and size, an aquarium at this time would be sufficient. However beware misting and the dripper, aquariums don't have a drainage system ( they're aquariums! ) so you run the possibility of giving him a URI or potential drowning should he fall into a puddle of water. Make sure that you pay attention to any over flowing water and promptly dry it out.
You said in another thread that you were expecting an older animal but received this one instead?
This should entitle you to either a refund or exchange. Of course you can always just keep the one you received if you are already attached.
Assuming 4 weeks in a month, 13/4 =3.25. This is pretty young for a chameleon to be in a consumer household, and raising him will be a slight challenge.
Consider that most chameleons from breeders arrive to new families at around 4.5- 5.5 months of age at the minimum. Also consider that for chameleons the first 6 months, especially the first 4 are considered the most dangerous.
There is also a rather sizable difference between a three month old and a four month old, no matter the species. Chameleons grow fastest during the first few months and then begin to slow down.
Keep your options open and consider that refund/exchange for an older animal. You would be doing yourself and the animal a favor.