Is there a token I can use to display a node's view mode?
Look at the Advanced Entity Tokens module.


  Advanced Entity Tokens (AET) Creates a Token for each of your entity
  items.
  
  Through AET you can query the DB for entities using Tokens.
  
  Examples
  
  
  [aet:node:1] will return the 1st node with the token view mode (or
  full if token is not available).
  [aet:file:1:view-original] will
  return the 1st file entity with the original view mode.
  [aet:taxonomy_term:1:name] will return the 1st node title field (note
  that this level of chaining is done by the formal token implementation
  of the node entity in token/token.tokens.inc -> token_token_info()).
  
  
  Real World Examples
  
  
  Displaying a node inside a block: This could be done using Node Block
  OR you could insert a token inside a block you create through the
  Blocks interface that retrieves a certain node (or a property inside a
  node, [aet:node:] or [aet:node::body]) with no extra code.
  Displaying a File Entity (image) inside a title field: I'm not sure
  how this could have been done without custom code, BUT with AET you
  could easily insert the Token for a specific File Entity
  ([aet:file:]) and your entity will be displayed. AET defaults to
  the Token view mode if available (full otherwise), but you could just
  as easily specify a view mode of your own
  ([aet:file::view-teaser]).
  I'm saving this spot for real life
  examples other Drupal users had (or thought of having) for this
  module.