What happens after a draw
In situation 1 nothing will happen. This is explicitly covered in the rules under the expanded text for the Baron card (page 10 in the Premium edition rulebook).

Situation 2 is also covered in the rules. On page 6 of the Premium edition rules linked above:


  In case of a tie, players add the numbers on the cards in their discard pile. The highest total wins. If there is still a tie, then all tied
  players are considered to have won the round.