Once you have an atypical mole, you know your body is capable of producing them. For that reason alone, I would tend to recommend biopsying a few of the other more worrisome ones to see if they are atypical.
With moles that are moderately to severely atypical, and in particular when you have a history of having more than one, my dermatologist would want to watch you closely and would have a low threshold for biopsying any future unusual looking moles you may have. This may vary from one derm to the next but it makes sense to me. Having had melanoma, I would tend to err on the side of caution and have them removed.
That said, I realize that might be easy for me to say because I have very few of them. There are people with hundreds of them. In those cases, there are different things that can be done to manage them.
One atypical mole is not overly alarming, but I would personally play it safe and get some of the others biopsied. The more atypical moles, the higher your risk of eventually developing a skin cancer like melanoma, of course. So I would want to know about the others.
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