Wow...looks like that was a mess! And yes, in those cases, larger sets come into high demand pretty quickly.
As far as the bonding jumper question, Mike Holt has a great guide on generators located here:
NEC Genset Requirements
If you look at page 4, you'll see that the generator can only be bonded when it is a "Separately Derived System" meaning the neutral would need to be switched by the transfer switch. If your transfer switch does not do this OR if you use a 4 wire plug to connect your portable genset to power the structure (i.e. just the two Hot legs, Neutral & Ground), you must remove the bonding jumper on the genset.
Easy rule of thumb...there can only be ONE bond in an electrical system!
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