you ought to get yourself a micrometer - or at least a good Vernier Gauge for general use, and particularly for this exercise.
However, as this is a company fuse, the heavy odds are that it's 60 Amp (1.53mm dia - assuming it's an authorised fuse element).
80A (1.8mm) and 100A (2mm) sizes are extremely rare in domestic installations.
If you have good eyesight but no micrometer you could compare the fuse element to a sample of 1.5mm cpc ripped from a 2.5mm T&E cable - not very 'scientific', I know, but a useful guide.
Regarding the S1A to S4A rating, this will depend on the type of enclosure around the element on the fuseholder: If the element is entirely open then assume S1A. If it's within a partial surrounding medium of 'asbestos tube' or ceramic guard then you may assume the higher figure(s).