Think of it this way. A standard roll is 8 metres long, if the roof is 4 runs at 6 metres each it doesn't make sense to buy and waste two metres on each roll.
You need to push the lead back into the raggle (line in the brick for the lead to sit) and use something to wedge it in and hold it in place. That is why it came out in the first place.
To me NO there should be a capping on the straight joint of slates where angles meet. What cowboy did that ? If left and right angles then the left photo shows top capping no complete. Were they "door knockers" cowboys looking for work or local cowboy and did you see where they parked the...