Welcome to the forum
I have found 2 entries for W Dais Regiment number 728.
Medal roll notes state his other number 5157.
Medal Rolls for 3rd NZRR and NZMR
His clasps award were Orange Free State, Cape Colony and Transvaal. Roll date 16th July 1901 Wellington.
His 2 date clasps roll 1901 and 1902 is dated Cape Town 7th October 1903
QSA with 5 clasps..... No KSA found on Ancestry roll
You only live once, but if you do it right, once is enough.
Welcome to the Forum. The problem you are going to face, as alluded to by Dave, is that William Dais received an unnamed medal during the visit to New Zealand by the Duke and Duchess of Cornwall in June 1901. Many recipeints of such unnamed medals later had theirs engraved privately, but that's by no means a certainty - basically you'll never know until it turns up.
He is entitled to the QSA as per Dave's post, and I have attached a photograph of him - just in case you didn't have one of him. It is taken from the Weekly Press newspaper of 21/3/1900.