Re: Neoclassical tone
Too nebulous. Malmsteen, Vinnie Moore, Michael Romeo, Early Paul Gilbert and Bruce Bouillet and that guy in Stratovarius are all neoclassical, but they sound markedly different.
Of those I mentioned, Malmsteen is the most popular and thankfully the easiest to replicate. You'll want to use basically what Greekdude has already said: single coils (non negotiable, as you need that clarity and toppiness), a Marshall-sounding drive section (either a cranked vintage Marshall with a saturation boost or a good Marshall-sounding pedal will do), and a healthy dose of delay. Personally, I'd use a SSS guitar loaded with YJMs or SSL6s.
To be honest, I think any pickup would do "neoclassical". Just make sure your rig is midranged-heavy enough.