Things in the corner of the mouth may or may not be herpes. There is also a condition called angular chelitis that is NOT herpetic that can occur in the corner of the mouth. You won’t be able to know if this is herpes or not, should it recur, without a swab test, preferably PCR. I suppose it is possible that you acquired it genital and orally at the same time and showed up only genitally but that is certainly a less common scenario, I think.
Yes, if you get a new partner who is positive for HSV 1 (but negative for HSV 2) there are no worries about transmission. The risk of a new partner getting your HSV 1 or them getting yours is very very tiny.
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Terri