Whenever I turn right in my TF the handbrake light comes on and stays on usually until I turn left or go over a bump but it's fine turning left. Any ideas where to start looking?

Check your brake fluid level or the connection on the handbrake itself (under center console)

to check under the centre consol, all you have to do is lift up the lid, and pull the bucket out which holds all your crap, under that is all the cords.

Check your brake fluid level

Had this happen a couple of times and this was the cause

iv hade the same problem though im not sure if it could help you, but i tend to drive with my leg against the hand brake and when i turned right more sideway pressure was given to the handbrake hence the light went on. this is why when i turned left, less pressure was given to the handbrake hence no light......(turning right meant body leans to left) was hope this helps lol