Having experienced the sensor problem myself the fuse blows as soon as the key is turned. I have attached a page of the starting system for the 5210. I believe it is the same for your 5220 assuming yours is open station. As you will see there is not much on that circuit. So it is either the key switch or the fuel shut relay. On my tractor 5210 the relay is located under the cowl to the left when seating on the tractor. I have attached a picture. If the other 2 relays have the same part number try switching them around. If you can switch them just turn the key to run no need to try and start it and see what happens. They maybe a little hard to get, so go slow. Also
disconnect the negative battery cable before trying to get them out! I would not put the shut-off relay in other spot, no reason to move the problem around.
Not the best pic on the starting system PM me with your email address and I can send you a better picture if you want.
If you still have the problem from the attached diagram you have the wire number and can take a look at the key switch.
For $39.95 from selectmanuals.com you can purchase a tech manual.
Here is a link to operators manual
http://manuals.deere.com/omview/OMRE199128_19/?tM=FR