Step 1: History of travel to China with eating crab points to a food-borne trematode acquired from crustaceans, which is Paragonimus westermani, the lung fluke.
Step 2: The lungs are damaged most, producing chronic cough, fever and rusty (blood-tinged) sputum; during invasion and migration there may also be diarrhea, abdominal pain, urticaria, hepatosplenomegaly and eosinophilia.
Step 3: The clinical picture closely resembles and is often confused with tuberculosis, but the sputum here is TB-negative. Unembryonated eggs are passed in the sputum.
Step 4: Fasciola hepatica and Fasciolopsis buski are intestinal or hepatobiliary flukes without this pulmonary picture, and E. histolytica causes amoebiasis, so the lung fluke Paragonimus westermani is the answer. Treatment of choice is praziquantel.