First question: Is there an 'overhaul kit' available for this gearbox? If so, there is a possibility of there being some instructions - which would be rather useful - but even if there is not, the fact that an overhaul kit exists would indicate this is a job that is doable. I went looking for images/diagrams of an exploded view of the gearbox, but the best I could find showed the gearbox as a single unit.
I'm not familiar with gearboxes like this, but it is clear any removal of blanking caps or output shaft seal must be done with care to ensure you don't damage the sealing surfaces.
Also, the casing is a casting of (by the look of it) aluminium, which means you should be careful where and how much pressure you apply in any prising or you might crack it. This is not to say it won't stand up to a bit of pressure, just be mindful of what you're doing.
The one thing I would like to know is how much 'end float' (longitudinal movement) there is in each of the shafts - and if there is any, where that movement occurs. Look very closely because even a miniscule amount could provide some useful information.
As for the retaining mechanism for the shafts, tautech could be right. I would 'pick out' the output shaft seal (it's going to get destroyed anyway) and see what's underneath. There is also the possibility that the shafts may be a press fit inside the bearings. Whatever you find there is probably what you will find under the blanking caps.
Again, not knowing what to find, I would not be surprised to find the bearings themselves to be a press fit into the casing. IF this is the case, you might find yourself in for a challenging exercise. Pressing bearing into a casing is easy. Getting them out is not.
If it were me, I could clean out all the grease from the gears and have a closer look to see if there are any clues on assembly. If I was comfortable taking the next step, I would carefully remove the output shaft seal (already having a replacement available) and check once more.