Usually, the oral form of this variety is called Japanglish while the written one is usually denominated Engrish.
Here's a video about Japanglish:
And HERE is a website where you can read some funny Engrish examples . Engrish is usually referred to as bad English as you'll be able to see on the site.
Pidgin is not an official language, the official languages in Hawaii are English and Hawaiin. Pidgin, or Hawaiin Creole English, is used by the residents in everyday life.
If you want to hear Hawaiin accent when speaking English, you can search for Barack Obama speeches or Bruno Mars interviews (they're both from Hawaii, and from Honolulu).