Here are some 8-letter words which all have the same set of special properties:

• aphorism
  
• besmirch
  
• disprove
  
• forensic
  
• humanity
  
• inductor
  
• mirthful
  
• pegboard
  
• unsavory
  
• whodunit
  
  

Please provide any other 8-letter word having the same special properties.

Bonus points if you can find additional such words which match the following crossword puzzle style clues (these are in alphabetical order):
1. found in high schools and undergraduate schools
2. an element on the periodic table
3. a type of tissue in the immune system
4. a small human bone