Thanks for your comments, Jim.
There is a lightweight painters' tarp in there already (the scrunched up plastic). I have a lightweight folding saw and also one of those hand chainsaws. Whistle and mirror would be a good idea.
You're right about the additions to the FAK, at the moment it's really for cuts and scrapes. I'm also trying to find a sterile suture set.
I would probably go for a Bic over a blast match; smaller. Tinder is a good idea. I hadn't considered that. I'll take a look at Doug's PSP but I'm in Europe and it might be hard to get hold of it.