It depends which exotic animal you want. An example of an exotic animal you can keep is a sugar glider. As long as the exotic pet you want is legal in your state you can usually get it.
Get an e-collar on the sugar glider to prevent the glider from self-mutilating, and then rush the sugar glider to an exotic vet immediately.
The sugar glider would need to be seen by an experienced exotic vet, where medication would likely be given.
No, amoxicillin is not safe for sugar gliders. It can disrupt their gut flora and cause serious side effects. If your sugar glider requires medication, it's important to consult with a veterinarian who has experience with exotic animals for proper treatment.
Marsupial
A sugar glider is a marsupial. It is a member of the possum family (not opossums, which are quite different).
Sugar Gliders!
The animal known as the sugar glider is a marsupial with the capability to glide through the air in a flying fashion. The sugar glider is rare and related to the possum.
No. California has some of the strictest laws on exotic pets.
Most gliders don't seep unless they have an infected wound. If you observe your glider seeping, take him to your exotic-pet-qualified veterinarian immediately.
It is illegal to keep sugar gliders in Australia because the sugar glider is a native animal and protected by law. On the whole, Australia prefers to allow its native animals to remain free. Some states in USA have outlawed the keeping of sugar gliders because they recognise that introducing exotic animals into other areas is detrimental to the animal, and can cause environmental damage.
The smallest animal in the order Petaurus, which is an order in the possum family, is the sugar glider (Petaurus breviceps). It is not the smallest glider: that honour goes to the Feathertail glider, but the Feathertail is in the order Diprotodontia.