M13A Missing Cam Sensor & Melted Connector

Just picked up a 2009 1.3JLX Jimny from Aged Uncle. M13A engine. Loss of coolant; engine overheated (is the story). Some repairers "skimmed the cylinder head" and fitted a new head gasket. However:

 

not only have they failed to replace the Cam Sensor, but somehow they have managed to melt its connector ...

Clearly, I need a replacement cam sensor ... but what's the easiest way of getting and obtaining a replacement connector? Loom from a scrappie?  Any suggestions?


 

The cam sensor is at the back left of the engine. that looks like its wired to the power steering or a/c pump area so noting to do with cam sensor. Also the car wouldnt run without the cam sensor working.

I was following this video:


Oh, and it starts, runs for 30 secs, stalls and wont start again for several minutes. Having said that, the previous repairers did not do a good job and there may be other faults.

I am with Riccy on this, it looks like one of the sensor plugs, but it's in the wrong place if it is. However I am no expert on the location of these items, so  here are some picture of my 2009 showing the same location for reference. Those that know can comment on what we are looking at.
Same location as your photo: 
And one from the side:
 
THis is what the blue connector has on it, looks like a VVT oil valve to me???
 

Here is the location of the front crank sensor, it's at the side of the alternator, in that dark black hole!!!! I can see a grey connector, but access is so poor I can't actually take a photo of it.
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Not actually sure what we are looking at or missing in your photo, but I hope mine help you identify missing bits. If you need any other photos just ask.

Mike, looking at your photo and fallingditch's photo it looks like the 'melted' connector might go here (highlighted). 

 

 

Its a clip to hold the loop of cable out the way of the belts (when compared to Mikes pic you can see it). Looks like there is a black metal bracket missing that the clip would go into.

The power steering pump has a single core wire plugged into the top of it to tell the ecu to idle up when pump is under load.

The blue plug near it is for the VVT solenoid.

Cam sensor is found on the inlet side of the engine and at the back (cabin) end. If the cam sensor was missing it wouldnt even spark. The ecu would put the engine light up on the dash and log a fault code. A faulty sensor could give the symptoms described. I would look at it with a code reader to see what that yeilds before going daft swapping stuff at great expense. The ODB port is near the bonnet release and any cheap code reader will work.