FannnieMae 的房子都这样，买方出全部closing cost

Check your contract carefully. I bet that it's tucked somewhere in the contract says that buyer pays all closing cost. Although normally bank pays all closing cost for REO purchase. I was bit by this once. My agent didn't tell me that either.
Besides, the 200-300 closing cost that he told you probably includes the property tax pro-ration already. So your closing cost is much higher than that: at least include the transfer tax (depending on state), settlement fee of 300, title insurance binder $200, and such.
It's not a good practice to trust your agent 100%. You have to verify everything yourself. Just my experience.

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