The original 3.1 boot.img boot loops???
Are you sure that you're not mixing up your images?
See if you can get recovery out of an update (if it's there).
If you find it, try to fastboot boot it.
If it doesn't have ADB working, PM me a copy of it and I'll try to add it.
(This would all be a piece of cake if I had a Note3.)
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