I'm not a professional mason, but I've done some plastering work. If there are wooden strips along the floor, I would start by removing them. It will definitely be a messy job, so I would mask and protect door frames and other areas. Then, chip away porous plaster and especially around any cracks. Attach plaster mesh if a lot of plaster has been removed, and reinforcement can be helpful with plugs, screws, and washers to create a little distance from the substrate. Wet the walls so the plaster adheres properly, then apply layer by layer, max 1 cm at a time. There are different techniques, but I took a plastering course in England where you press the plaster on with a trowel, and it sticks firmly. After a while, smooth it with a damp sponge float (circular motions). A scratch float also works.
I spoke with a mason who liked Ardex A46 for this type of job, but I found it difficult to work with - it set very quickly. I would use Finja plaster mortar C as you are considering. It's a strong mortar, easy to work with, and seems to work well with slightly older existing plaster. I seem to remember it has quite a high lime content.