An SPL meter is used to
measure the sound pressure level, it's benefits are simply that doing it by ear is very rough - human hearing being an amazingly imprecise measurement device. [I rather expect that wasn't what you wanted to ask with "Can anyone tell me the benefits of the above"]
An SPL meter yields a single value for the sound it receives, regardless of the mix of frequencies of that signal. Weightings are frequency response functions: that is some frequencies are weighted more than others. A Weighting filters out low frequencies and slightly emphasizes frequencies around 2-3 kHz - it is generally used to to measure hearing risk and compliance with safety regulations. By comparison C Weighting is almost unweighted. For further details including the actual weighting functions, see
A-weighting - Wikipedia, the free encyclopedia.
Analogue and Digital SPL meters are equivalent, in the sense that quality (accuracy) differences are unrelated to whether it has an analogue or digital display. A digital display is easier to read though.
The Silverline 633937 SPL meter you reference will be fine although at +/- 2dB, it isn't the most accurate. The absence of the word "pressure" in the title on the Amazon page is of no consequence. Another source is
Sound Level Meter, Noise Meter and Decibel Meters from Digital-Meters.com +44(0)1254 870300.