TC rescues Magnum and Higgins from the police by hitting the police car with the limo, then stealing the police car. Later the police car is clearly not damaged.
When discussing how to access the source of the information on Viper, Magnum and Higgins repeatedly refer to the Taipei Consulate. This should be the Taipei Economic and Cultural Office in Honolulu (TECO) is a regional office of the Taipei Economic and Cultural Representative Office (TECRO). As the US and Taiwan do not have a formal diplomatic relationship owing to the People's Republic of China not recognizing Taiwan as an independent nation-state, TECRO acts as a de facto embassy.
Higgins hangs up on Magnum who is on his mobile phone at a hotel and there's a dial tone. Mobile phones don't have dial tones.
While Magnum is in the hotel suite his robe has the hotel name "Maika'i", the Hawaiian word for "good", embroidered on it, however when he says where he is he calls it the "Makai" hotel. Makai is the Hawaiian word for "oceanside."