For identical output voltages at rated current, no current sharing resistors are necessary.
12v/1A = a 12Ω load, 12v/0.5A = 24 Ω, 12v/1.6A = 7.5Ω.
12||24||7.5 = a 3.9 Ω load. 12v/3.9Ω = 3.1A.
I don't believe open-circuiting this arrangement will harm any transformers.
If the voltages and current ratings are different for each xformer then you need current sharing resistors, on the order of a few ohms each.


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