Definitely need to check state of the battery with a voltmeter - it may be completely knackered.
For jump leads to melt, we are talking lots of current. There isn’t a fuse of that capacity in the T6 system to my knowledge, so it is more likely that something has melted in the electrics.
I would follow the wires through from the +ve terminal looking for damage.
To be honest though, you need an experienced vehicle electrician here.
Pete