i too have had a similar experience as you. my buddies jake, steve and mark hadn't really been outdoors alot but after i took them hiking on the chief (stamus chief in squamish, bc) they were hooked.
we were out on a hike following an old dirt logging road west of port alberni. there were 4 of us back packin it and wouldnt ya know it the only person who brought a knife was me.
although my buddies had some other essentials. like lighters, matches, and a pot they didnt have a single knife between the 3 of them.
having been hiking alot more then them (i was kinda acting as the guide for the trip

) i took action.
i took out my fiskars hatchet, and passed it to jake and mark and told him to go with my other buddy to gather as much firewood as they could carry. i showed them what kinda wood to look for and how to safely gather it before leaving (didnt want to have to treat an injured friend cause that'd be bringing the rest of the team down)
me and my buddy steve got a shelter put together in all of 5 minutes. it was a very large lean-to which was facing a stretched out fire pit we made (that way we can have a long log fire and the residual heat would reflect making us warm and dry.)
we rolled some logs under the lean too and covered them with spruce boughs to not only give us a dry seat off the ground but to keep our butts off the cold wet dirt.
i'd say the most helpful thing on that trip was the zip-ties (zap straps) which i had packed into my psk. i quickly lashed the poles onto the frame and we were able to cover the lean-to with spruce boughs and other debris which made the thing fairly water tight.
once they got back we got a fire going pretty darn quick. after splitting a few logs my buddy steve decided he'd give it a go and before i knew it we had a size-able stack of kindling next to a pile of fire wood. i pulled out my knife and made some nice shavings to help the fire catch quickly.
i normally carry a few trioxane tabs for cooking and combined the two to get an instant blaze going. (those trioxane tabs are super fire starters).
after having dried ourselves off i took out my canteen filled the pot and put on a brew.
when we finally got back after 3 days of walking the first thing my buddies did was go and pick up a knife and a hatchet for themselves. (guess they learned their lesson)
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so if your buddies havent learnt from your experience i'd say give em a smack on the side of the head
from my experience a large lean-to is fairly quick to setup with the proper materials in you psk. for a group of 4 we found two trees space about 2 meters apart and started working on it. it was fairly cozy but did the job.
if you are soaked to the bone, i'd suggest taking the clothes off and trying to squeeze as much water out of them as possible... not sure if thats a big help but i've done it a few times when i got soaked and atleast it helps remove some of the weight which the water generates on your clothes.
btw i dont think your screwed. atleast you have the brain to bring your psk and a knife
cheers mate, hope you dont have one of those life and death situations again.