You are right that the array name is the address of the first element of that array. This works exactly the same for arrays of char as well.
In C, there is no "string" type, so we are forced to use arrays of char. There is one special difference between a string (array of char) and other arrays, and that is that the last element of a string MUST be the null terminating character '\0'. This signifies the end of the string.
The puts() function will take a char*, assume it is a string ( an array of char), and output all the chars in the array up to the null terminating character.
By using printf in the way you are using it, you are telling it to output one character (%c) and giving it the first character of the string (since you dereference the array, giving you the first element). If you want to print the whole string, use %s and don't dereference the array. You could also print any single character within a string by just giving the index of the character. For example:
printf( "%c\n", message2[3] ); // this will print 't'