Step 1: The combination of eating crab in an East Asian region plus lung symptoms is the classic clue to paragonimiasis caused by Paragonimus westermani.
Step 2: After ingestion the fluke migrates to the lungs, where it causes the most damage and produces a chronic productive cough with rust-coloured, blood-stained sputum.
Step 3: Because this mimics pulmonary tuberculosis but with TB-negative sputum, the diagnosis is supported by finding the parasite eggs in sputum, along with eosinophilia.
Step 4: The other flukes listed do not lodge in the lung and amoeba causes intestinal disease, so the lung fluke is correct and praziquantel is the drug of choice.
\[\boxed{\text{Paragonimus westermani}}\]