It appears that UKBA are correct. Only Middlesex University and Middlesex College of Law Ltd appear to be on the register dated 28 January 2010. You did not provide the name of your new college. You can check if they are on the regiser by clicking the link below:
You are under a duty to keep UKBA updated on any change of circumstances such as changing course and college. The rules permit such a change but you need to inform them. Submit certificate of enrolment from new college which should highlight, inter alia, their sponsor licence number, your full name, your course and its duration, what assignments and exams are involved and their dates. Request UKBA to review their decision to refuse visa.
However, you should not waive your appeal rights. The deadline to appeal is strict and so appeal notice should be lodged in time. Whether or not you appeal is of course a matter for you but you should not rely on goodwill from UKBA.
If your new college is on the register then you should lodge appeal notice stating that you have now switched to new college that is on the register. You will need to collect evidence of your attendance rate and progress to submit at trial which is likely to be within 2 months of lodging appeal notice. You should obtain supporting letters from the college also (Principal and Personal Tutor) confirming any progress that you have made (if at all because you would have only recently started course).
TIME IS OF THE ESSENCE. YOU NEED TO ACT QUICKLY. I suggest you instruct legal representation to conduct your case because it is not simple. Click on link below to search for your local immigration law solicitors:
All the best.
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