This. Your realtor is NOT a fiduciary, nor do they have any legal requirement to act in your best interests (and it is in their best financial interests to align with the listing agent on most matters). Your lawyer is the only person who is truly in your corner during this transaction.

That said, $1200-$2000 is about right for a standard, residential closing (I probably wouldn't go with your realtor's rec).

EDIT: OK, I misspoke due to my disdain for the real estate industry. Yes, realtors do have a nebulous legal obligation to "act in the best interests" of their client--as does any fiduciary. But see comment below as to why they rarely do.