Dear Shruti
Your query initially confused me ...in the sense that I was thinking that both the paragraphs were together, later undertood that the 1st one is by CB!!
Don't get worried and feel panicky. Immigration File # is there which starts with B or E and is assigned to the file of PA (along with family)... so it will be one serial number. Whereas UCI # is Unique Client Identification # assigned to each and every individual, who ever has submitted their medicals. This number will be there on each MR document (Form 'A').
As far as waiting goes ....please have
some patience ..... this
some may extend for 2-3 months ...
Don't worry ...be happy
Cheers, Anil