Based on literature, nasal cavity epithelium does express MUC4. Generally MUC4 expresses in membrane. Regarding which tissues have MUC4 expression, here are a few articles citing expression in various tissues:
Colon mucosa, Pubmed ID: 10024507
Lung, and Testis, Pubmed ID: 10880978
Milk, Pubmed ID: 18780401
Pancreatic tumor, Pubmed ID: 10920259