The OP deck barely seems viable against plat now. Time to try memi's version. 
Three points though.
How do you protect your Eternity by playing other perms? I thought Eternity was the no. 1 target.
I don't think life rushes are even slowed by 1 turn against Eternity.
How would you ever get Mutation out on the first turn? A tower giving 3 
?
1. It is, but only if you play it. If you know, for example, that your opponent is playing a pc-heavy build (mono-
, mono-
, etc), then you can usually get a good feel for how many steals/explosions/SoFo/BE are likely to be run. Since every PC spell used on a GH, a Discord, a Longbow, a (insert perm here) - is one that can't target the Eternity you play with one card left to draw (if it comes to that).
2. Sure they are. Eternity owns Mitosis; Eternity + BE/Steal/Explosion/Pulvy (basically, either a mutation or a SoSe is likely to give you something) slows the rush; Eternity + Mirror Shield cuts Frog/Cockatrice rushes down to manageable levels. Not to mention the decent odds of seeing an Antimatter, Maxwell's Demon, Pandemonium. Also, for super extra fun happy times, try mutating a few enemy critters, then THEN AMing or Rewinding them.
3. Sorry, should have been clear. This is assuming we count your first draw as turn 0, as is shown when you beat a 1hp deck in the Arena.
It's fun, but unpredictable. I wouldn't recommend this deck for PvP2 unless you're slightly masochistic (or really bored); PvP1 I doubt it would work at all. It doesn't win often in Platinum; basically, you need a really good draw to beat rushes coming at you with triple mark and dexterity!
