I would get a micrometer or whatever you call it so you can measure the strings on the guitar to get the best idea of what string set gauge is on it. This way you might be able to tune it up and just play it without messing up everything when you don't know how to adjust it. Maybe the string set is in the case? Any slight change in string size will make tuning difficult.
Tuning order and method is mandatory, this isn't a normal guitar. Do a search on pull release tuning and also know that each one can be different as far as where the adjustment is made and how at least for the knee levers. You tune some strings with A and B pedals down and then tune them in the open position at the back of the changer. Knees will get difficult from there. What looks like a feel stop on a knee lever might actually be how a lower or raise is tuned on a string that already has a lower or raise. Both E lowers or raises might have a way to tune one of the strings to match the other when the overall motion is controlled by a stop on the knee lever.
All of this will make more sense if you either learn this before removing the strings, assuming the prior owner had it set up properly, since it should all work if you tune it in the right order.
It's my opinion that too many people start rebuilding things, polishing or making changes on a guitar that just needs to be left alone for a while and played. Seriously, don't restring it yet....learn to tune that guitar and see what you have.
It does look like you have micro adjustments on individual string pulls at the back of the pull rod with threaded rods with adjustable nuts there. You also might have stops on lowers on the C6th neck on the end of the rod as well. A very close up picture of the end of one of those rods with the compression springs would help to give you an opinion on those.
And yes I have one so I'm familiar with those.
