2 Tales from Friends.
First one.
Friend puts offer on house, EA says higher offer put in by already by couple who saw on the same day. Friend knew couple to see, went and said, no point in trying to outbid each other (so one of them can get the house) Couple said they hadn't put on an offer on the house. EA fibbing.
Second, 6 years ago, another friend bidding on house she really wanted. Offer rejected. She was dissapointed by it and called into house she wanted to chat to the sellers about the property when it was sale agreed.
Sellers said they had acepted a lower bid, EA never passed on her offer. Reletive of EA had bid lower.
They cannot be trusted. You are the one with the money. You call the shots. Walk all over them, don't let them walk all over you.