So, update to my last post. 30cm of snow and the tractor did let me down. After that it was way cold again for several weeks and the **** thing would not start or crank.
This weekend however we had temperatures just around freezing and with the block heater plugged in, it started just fine. So I took the time to take the front loader off to have more space to work on the starter.
I had to remove all the wiring, because it covered up where the starter was sitting. I found out that the cable going to the starter was a bit chafed, but mostly the outside protection, not the cable insulation itself. Taking the starter off was okay and actually easy compared to putting it back on, later more to that. So it took the starter off and cleaned it up. I opened up the housing as well and carefully cleaned the inside too. Lots of dust from the brushes, but also environmental dust and grime came out. I reassembled everything and put the the starter back on the tractor.
Now, taking it off was easy, removing the bolts and it pretty much fell into my hands. Putting it back on, whole different story. It has no guides in any form that will hold it in place and there is no room to hold the starter in place and at the same time put the mounting bolts in and start screwing them in. After a lot of swearing I somehow managed to get one bolt in and to eventually get everything together. Putting the wiring back into place wasn't easy either, but I figured it out.
So, it came to starting the tractor. I had power, glow light came on, tractor was plugged in for 24 hours prior... turned the key... all I god was a clunk from the starter being stuck. Tried couple more time, just the same thing. Took a ratchet extension and carefully banged the starter with it. I got back in, turned the key and the tractor immediately started. Super fast cranking, No issues at all.
I did my snow clearing and stopped and started the tractor a couple times without any issues. Now, I assume the starter will in the least have to be rebuild, maybe even replaced. At least I for sure now know that it is the starter and not the wiring. I will see in a few days, when it is supposed to be cold again, how the starter runs then.
Thank you all for the help and input!!!