Yes, an angle iron running across (left to right as shown in the picture) would help. I think a piece across the front and back and to be sure you could put another castor in the middle of the case front and back..
Looking at standard angle iron available in the UK, I would recommend nothing less than 40mm x 40mm x 5mm to be sure.
Your can estimate deflection if you know how to calculate the moment of inertia (angle iron) and determine various the angle iron characteristics here --->
http://www.engineersedge.com/beam_be...m_bending1.htm
The website I'm looking at wants (L)35 for 3 metres excluding VAT... L=pounds, sorry...
After modification pictures would be nice.... Good luck!