Hello,
do You have the design in vector format (ai, eps , pdf) or in higher resolution?
If so, can You attach it?

Best regards

are you saying that we should copy the image and vectorize it?

To have the best result and enlarge as You want, We should have the design in vector format;
the image provided is in low resolution, we can redo the same lettering but it is hard to make a good job with the leaf motif under the S.

please upload vector file. thanks and regards