Ivy CE will not trade with another i22 move. CE have higher priority so they hit first. TJ move and TC will obviously beat Ivy CE even if they are the same frame wise.
Only time Ivy CE will trade is facing another Ivy who does CE at the same time. Nothing happens and they are both at neutral.
Asta CE will beat Ivy CE if done at the same time, even though they have the same frames.
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For Raphael 214B is a very good tool to beat most of his prep options. Pay attention to when he has full meter as Ralph CE is a great tool to interrupt. So after a knock down from Ivy be cautious of your wake up game. 2B or 2K or guard and punish Ralph CE with 1B BE or if the angle is right 3B 8B6. If Ralph does 6B BE or Prep B BE before the last hit you can quick step to Ivy left and the punish with 6B+K for 100 damage
For this match up I think its about even.
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Cery a harder character for Ivy to deal with, mainly because of the damage difference on NH and Cery aB. In this match, punishment is very important as a way to deter them from abusing moves.
Cery 3B, punish with 8B6 K
Cery aB, punish with 6A
Cery 1AB, JG the B and punish with 3B 8B6
In this match you are kinda force to play defensively, because if you become to aggressive in the match Cery auto GI tool become very useful.
Cery A+B, B+K and 22_88K.
This match I would say is 6:4 for Cery.