Welcome to SRP,

You will find a lot of info if you read the posts esp. in this section (start from the stickies).

5/8 is the width of the blade in inches.
The grind of a blade is always concave and never convex (extremely rarely may be flat).
As far as what hones you need, usually the knives are kept at much lower level of sharpness than razors, so I'm not sure if what you have is enough. You need hones in the 4000-10000 grit range and 1000 grit if you need to set a bevel fast.
Some people use strops pasted with CrO to get sharper/smoother edge, but before shaving you want to use plain leather.

Hope this helps.