I get what your trying to do,I started a similar thread on reading diagrams a few months back which I promised to update but haven't,a bit of basic reading for those unfamiliar with how control diagrams work.That in itself is a bit of a juxtapose as there's so many different styles of diagram it can't readily be put into one particular style or even what's right or wrong.For example,the German diagrams aren't hot on cable numbering,more reliant on terminal numbers and locations within panels which I cut my teeth on,once you get your head round the system it makes for perfect sense and I find easy fault finding.British diagrams tend to be a3 ladder style with as much info on the one page as possible ie all the switching conditions to get the relay on in one row,often snaking around the page so you can see clearly what's needed for what.these tend to use cable numbers rather than terminal destinations and very rarely in my experience tell you what panel the items are in.Italian are a mix of both as are American,we've got one Norwegian diagram to which I have absolutely no understanding of,the system seems completely ridiculous to me but I do need to learn it as if I'm too go offshore their idiotic ideas maybe out there as well.As for your first diagram it's a basic contactor system,to me the emergency stop is wrong,it should be before the termination point straight after the fuse so it cuts everything as the only protection you now have for k2 is the fact you need k1 in,as there's a n/o contact on k1 required to energise k2,I've seen contacts burn and weld together for all sorts of reasons and granted this can happen on an e stop but you should test your e stops each shift,only takes a second,it's in likely you'll test the contacts every shift.Can't see an e stop reset either which should be mandatory as far as Iconcerned,otherwise all that could start straight back up again.As for wire numbers,particularly simple circuits,we were taught that 1 is your main power in and 2 your return so looking at your diagram the top 24v line is 1,the bottom return is 2,so 1 into fuse,3 out of fuse,3 into e stop,4 out of e stop,you don't use 2 again.Any modifications should go 1 A etc,you never alter the original wiring if possible plus update the diagram accordingly and make a back up copy.