The forum's been having some issues with up-loads lately - May not be you.
Why can you not keep the lunette? As I recall most of those trailers feature a lunette assembly that unbolts. Can use one of these "Towing Eyes" in the socket receiver that you desire.
A good way to mount an under-tongue spare is to use the spare tire winch found on many import trucks and later domestics. Can likely bolt it to the tongue using it's cut-down original cross member. I weld a lug nut of the same size as those on the trailer to the end of the 'drive shaft' for the winch. That way your lug wrench does double duty. In your case you may want to make it the same as the Jeep, if they are different sizes.
Time is your friend in getting the cable loose. I highly recommend "PB Blaster" be applied to the point where the cable comes out of the sheath. Best if the cable end can be pointed up so that the PB runs down into the sheath.
I used to swerve around my hallucinations, now I drive right through them.