Dan,
The Insulation appears to be an old "loose fill" glass wool or mineral wool, both materials do NOT contain Asbestos.
If you are concerned, there are several UK based firms that will [for a fee] test the material for you chesk the WWW for Asbestos test houses.
Can I ask? the cut off flexi duct seen in the second image? what does it serve? is it a vent from [say] a bathroom? If so, it is of concern because if the Flexi duct is still in use, it could be pumping a load of warm moist air into the loft, not what you want.
What is the ventilation like in the loft? is there a flow of air in there? there should be eaves vents along each side of the roof?
Ken.