Monks precepts - Not to teach dhamma to women and not to recite dhamma in pali with laymen? Two of the Pacittiyas (monks precepts according to Vinaya) implies that 1-Bhikkhus should not teach more than 6 words of Dhamma to women and also 2-Should not recite texts of dhamma in pali with laymen.

Is this correct? I may have read that in a non reliable source of per haps I may have misinterpreted it, it could also be an issue with the translation... not sure.

Anyway, I woukd like to understand it better. thanks!
I think your first doubt was taken out of context from the following rule (excerpt from The Buddhist Monastic Code, page 370):


  Should any bhikkhu teach more than five or six sentences of Dhamma to
  a woman, unless a knowledgeable man is present, it is to be confessed.
  
  “Then Ven. Udāyin, dressing early in the
  morning and taking his bowl and (outer) robe, went to visit a certain
  family. At that time the lady of the house was sitting in the main
  entrance, while the daughter-in-law was sitting in the door to the
  inner chamber. So Ven. Udāyin went to the lady of the house… and
  whispered Dhamma into her ear. The daughter-in-law thought, ‘Is this
  monk my mother-in-law’s lover, or is he being fresh with her?’ Then,
  having whispered Dhamma into the ear of the lady of the house, Ven.
  Udāyin went to the daughter-inlaw… and whispered Dhamma into her ear.
  The lady of the house thought, ‘Is this monk my daughter-in-law’s
  lover, or is he being fresh with her?’ After whispering Dhamma into
  the daughter-in-law’s ear, Ven. Udāyin left. So the lady of the house
  said to the daughter-in-law, ‘Hey. What did that monk say to you?’
  
  “‘He taught me Dhamma, ma’am. And what did he say to you?’
  
  “‘He taught me Dhamma, too.’
  
  “So they criticized and complained and spread it
  about, ‘How can Ven. Udāyin whisper Dhamma into women’s ears?
  Shouldn’t the Dhamma be taught openly and out loud?’”
  
  The two factors for the full offense here are:
  
  1) Object: a female human being who knows what is and is not lewd, what is well-spoken and ill-spoken, and who has not asked one a question about the Dhamma.
  
  2) Effort: One teaches her more than six sentences of Dhamma without a knowledgeable man present—i.e., a male human being who also knows what is and is not lewd, what is well-spoken and ill-spoken.
  
  ...
  
  Summary: Teaching more than six sentences of Dhamma to a woman,
  except in response to a question, is a pācittiya offense unless a knowledgeable
  man is present.


Your second doubt, seems to be referring to this rule (excerpt from The Buddhist Monastic Code, page 356):


  Should any bhikkhu have an unordained person recite Dhamma line by line (with him), it is to be confessed.
  
  This is an offense with two factors:
  
  1) Effort: One gets a student to recite Dhamma line-by-line with oneself (which, as we shall see below, means to train the student to be a skilled reciter of a Pali Dhamma
  text).
  
  2) Object: The student is neither a bhikkhu nor a bhikkhunī.
  
  ...
  
  Summary: To train a novice or lay person to recite passages of Dhamma by
  rote is a pācittiya offense.