Do the Lizard Minion repellent and the Lizard Minion Trap actually work to keep the Lizard minions away from the items they grab away from me in the Random Events? OR If not that, then what do they do?

Yes, the spray gives you 25% of getting the item, the trap 50%. If you have both, the chance you get the item is 75%, although I must say I have both and never missed an item in those RE's =)

But make sure you have them both in your inventory .. Don't accidently put them into your Vault or Shop (except if you are going to zap your Pets at Atebus, then take them back into your inventory right after.) It sucks if you know you HAVE those items and forget them in the Vault and then the Lizards come ..

Happened to me today Dx

Wheeee!! I was hoping I would hear that they did that. And I will keep that in mind about the cautions...although I don't use the zapper. Thanks so much, Flower and Jibirelle!! runs off to purchase items