The curb construction is one of the most messed up ones in the industry - it has to be done right, or it will eventually fail.
1. You can't just wrap lath over the liner and then tile using thinset...you need to add a layer of mortar on the curb first to embed the lath and provide the desired slope. Then, you can add the thinset and tile (after the original mortar has set). You need a different, richer mix of mortar for strength, and to form than you use in the pan. This is the method used in a conventional shower. Getting the liner installed so it is waterproof, with the corners, etc., is very detail oriented.
2. Not familiar with this as such...there are some foam curb assemblies designed for direct bonding a membrane such as Kerdi to. Schluter makes them, as do others (and you do not need to use Schluter's). These get bonded to the subfloor or slab with thinset. Only used with surface membranes for the most part, but you could treat it as in #1, but it would end up even bigger.
3. You cannot apply Kerdi (or any of the shower membranes I'm familiar with) directly to wood...you need to cover the wood with one of the approved backer materials first. What is allowed is covered in their installation instruction manual. Then, it's similar to a wall/floor/corner situation. Schluter does have inside and outside corners to aid in keeping this waterproof, but they also have other methods that work.