Is the following passage capitalized correctly?

Jim Hawkins is the main character in the book Treasure Island. The pirate Long John Silver befriends hawkins.

The following passage is NOT capitalized correctly. In the first sentence, the name Jim Hawkins and the book title Treasure Island are capitalized correctly. In the second sentence, the name of the pirate Long John Silver is correctly capitalized; however, the name hawkins is not. Hawkins is the name of the main character. It is classified as a proper noun and therefore, the first letter should be written in a capital letter.