Hi Charles
Your Bermudan mast will not be suitable for a junk rig - it won't be strong enough. Looking at the boat profile on Sailboatdata, the mast also appears to be too far aft even for a rig with a lot of balance such as a split rig.
The lower shrouds alone will not give the mast enough strength, and would probably interfere with the efficient working of a junk sail. They would certainly prevent the use of standing and running parrels, which are essential to the rig.
Haven't done the measurements or calculations, but I feel you'd need a stronger mast stepped further forward. If you use a tabernacle, it would need to be very strong, and pass through the deck to be stepped on the keel.