I use IPC-2612, it is a combination of the other standards that have been used over the years. It provides a good basis for your schematic standards.
As to your grid size, its way to small for schematics. I started out drawing them by pen using a drawing board (pre schematic capture package days!) and used the old BS-308 mechanical drafting standard as a basis for line widths then. What you have to determine is how the schematcis will look when printed and paper sizes. As a reccomendation that I know works and can be printed 1 sheet size smaller and still be legible is:
2.5mm - 3mm between IC terminals, discrete component symbols (res, caps, diodes etc) 7.5mm between symbols, pin text and signal names 1.75-2mm high. Space connections at 2.5-3.0mm apart to match IC pins spacing. Base you design grid on the pin to pin spacing again 2.5-3.0mm and only use the desig grid and half grids for design to keep things tidy. On all ECAD systems you can define macros to set the grids and have these on a custom tool bar or as a custom keyboard shortcut.
The IPC- specs cost very little, buying them helps support the organisation, and the cost is offset by the time you save having to do your own specs.
With regards to bolth schematic symbols and component footprints, the first thing I do with any CAD package is delete the ones that come with them and do my own, not only does it teach you the most important basic skill of CAD, LIBRARY MANAGEMENT, but it gives you complete control of what you do, what is displayed and any extra information you want to include.