Morning Allan, I have a Sony ECMCS3 lavalier that works really well. I usually use it plugged into a Zoom H1, but it's great plugged straight into camera as well. This is to record my voice, if I need to record a wider areas sound I use the H1 by itself. Here a link to the mic:
https://www.amazon.co.uk/gp/product/B0058MJX4O/ref=oh_aui_detailpage_o03_s00?ie=UTF8&psc=1
Video light wise, how small?
Just ordered a really small light that's been getting great reviews. Not sure how big an area it will illuminate yet, but can test tomorrow when it arrives if it helps.
The light is an Aputure AL-M9 which I ordered from eBay as they had it in stock for £50. It's available a lot cheaper though direct from China. Here's a link to it on eBay:
http://www.ebay.co.uk/itm/391156157457?_trksid=p2057872.m2749.l2649&ssPageName=STRK:MEBIDX:IT
I wanted something really small for a project I'm working on that involves talking on camera in the dark. I saw a video where Jared Polin used this light to illuminate himself vlogging at it seemed to work great