Low levels of Blood/Glucose can effect the individual making them feel a little wobbly on their feet, with headaches and forgetfulness, but this effect is normally associated with a Type 1 diabetic (on Insulin) where the fine balance between their Insulin and Carbohydrates is lost. It isn't usually associated with a Type 2 diabetic though it can happen with certain diabetic medications (not usually Metformin)
If you suspect that your B/G levels are too low or fluctuating you should check the level with a test meter and also carry with you something to remedy this should you find that your levels are too low (below 4 mmol/L plasma).
I would also suggest that you carry with you some sugar sweets (toffies or an drink (non-Diet type)) as a precaution until you finally know what's causing your problem.
Also with all that regular exercise walking about, that will also be in effect helping to lower your B/G levels, so it becomes essentual to eat in advance of your shift regular balanced meals (little and often being the optimum choice)