(1) An amendment of a pleading that does not change the party or the name of the party against whom the claim is asserted relates back to the date of the original pleading if the claim or defense asserted in the amended pleading arose out of the conduct, transaction, or occurrence set forth or attempted to be set forth in the original pleading.

(2) If the amendment changes the party or the name of the party against whom a claim is asserted, the amendment relates back to the date of the original pleading if (a) the claim or defense asserted in the amended pleading arose out of the conduct, transaction, or occurrence set forth or attempted to be set forth in the original pleading, and (b) within the period provided for commencing an action the party against whom the claim is asserted by the amended pleading (i) received notice of the action such that the party will not be prejudiced in maintaining a defense on the merits and (ii) knew or should have known that, but for a mistake concerning the identity of the proper party, the action would have been brought against the party.