Oh go on then I'll nerd out on this 
I take a microfibre cloth as a hanky as I get runny nose too.
Also vaseline stick for wind chapped lips.
A plastic rigid cheapy headband is handy for pushing loose stray hairs out of your face. I wear plaits usually but the wispy stragglers can be annoying.
Agree layers. I wear wickable long sleeve t shirt with craghopper trousers, then fleece over top then anorak, and have a duvet coat plus top and bottom waterproofs in bag. Sounds a lot but you can react to the weather and duvet coats scrunch up and can be a blessing to put over anorak once you reach the top and stop moving and the chill sets in. Merino leggings from Aldi under trousers if properly bitter.
My boots were 80 quid or so from Go outdoors.no idea of the brand I just tried lots on and these have taken a lot of hammering.
I'd recommend smooth bamboo or thin socks as opposed to thick woolly ones. Even wading through snow your feet probably won't be cold as long as your boots are decent and thick knits have caused chafing and blisters.
In my bag along with duvet coat plus waterproofs I have foam seat mat, bottle of water, pack of sandwiches beany hat neck warmer and thin gloves. You need to be able to grip but you're likely to get damp so the cheapy pound ones work fine even with the odd scramble.
I like to have the option of a stick, as my partner says it's like a personal bannister, and if icy crampons are magical but the cheap ones rarely manage eight hours of rocky bits.