A 40-year-old male with a 2-year history of cirrhosis presents with fever and abdominal pain for 2 weeks. Examination reveals a temperature of 38°C and generalized abdominal tenderness, with progressively increasing ascites on follow-up. [Hypothetical scenario] If the patient develops frequent epistaxis and gingival bleeding during hospitalization, along with large ecchymoses (especially at injection sites), which condition should be suspected?