I'm assuming you're talking about inducing it in a murine/rat model?
Yes, CT would certainly show the disease manifestation in the lung or liver given that it is prominent enough. Contrast would be helpful for the liver.
These two papers use US and MRI to profile hepatic and lung involvement, respectively:
Article Assessment of Early Hepatic Echinococcus Multilocularis Infe...
Article Magnetic Resonance Imaging of Alveolar Echinococcosis Experi...
Certainly. This has been used in medicine since the early 80s. The review by Beggs shows some of the early work in the field. Article The radiology of Hydatid disease
Contrast would be helpful but not necessary since the calcification of the cyst has native contrast especially in the liver.