Next step would be installing and adjusting the mirror assy. This is fiddly and important, because it will also affect the 1st curtain.
The newer Zenits (like 12XP and 122 from 80 - 90's) are easier to adjust because they have clamping springs for the big mirror mechanism screws, the EM does not...
1. Loosen the big screws on the mirror assy mechanism "slide"
2. Install assy in the camera body
3. cock the shutter and test
4. if the mirror does not go up OR does not come down again you either have too tight setting that stops the 1st curtain altogether, or the flipper wheel is @ the wrong tooth (there's only one right gear tooth it works correctly at)
5. adjust mirror mechanism height
6. remove mirror assy from camera and tighten the screws
7. re-install assy to camera and check mirror again (re-do 3-6 again if not ok)
The mirror slide mechanism height adjustment screw is next to the prism behind aperture lever mech
Here's the sliding mechanism that affects how much the mirror flipper pin is pressed towards the mirror flipper wheel
Here's a video how much there should be play. Maybe not more than this, because the mirror may start blocking light from lens back element
The newer Zenits (like 12XP and 122 from 80 - 90's) are easier to adjust because they have clamping springs for the big mirror mechanism screws, the EM does not...
1. Loosen the big screws on the mirror assy mechanism "slide"
2. Install assy in the camera body
3. cock the shutter and test
4. if the mirror does not go up OR does not come down again you either have too tight setting that stops the 1st curtain altogether, or the flipper wheel is @ the wrong tooth (there's only one right gear tooth it works correctly at)
5. adjust mirror mechanism height
6. remove mirror assy from camera and tighten the screws
7. re-install assy to camera and check mirror again (re-do 3-6 again if not ok)
The mirror slide mechanism height adjustment screw is next to the prism behind aperture lever mech

Here's the sliding mechanism that affects how much the mirror flipper pin is pressed towards the mirror flipper wheel

Here's a video how much there should be play. Maybe not more than this, because the mirror may start blocking light from lens back element