Irv,
First one is what Sunray said -nothing wrong with it and quite scarce.
Second one, top and bottom both genuine, but both from other badges and impossible to know why someone bothered. The pattern of the lyre is helpful, most of school of RNSM badges you see are referred to as coming form stores but they are re-strikes. This lyre in yours is the same pattern as the genuine ones and I'd be very interested to know if you can traces of a lug on the reverse.
The third - common re-strike.
Yours
John
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