mommyT - welcome! you have come to the right place!!
on the website it says if you do not receive your AOR letter after 8 weeks, to contact them. They say they will not respond to any inquiries made before the normal processing time is up. So perhaps, they did not respond because the 8 weeks was not up, I don't really know. Maybe they haven't even looked at your file yet to give it a B#. Perhaps you should call them to find out your B#. My hubby's file was transferred to KG on Jun 28 and to date, he has not received the AOR letter....we have another 4 weeks to wait for it.
It is my understanding that it is not uncommon not to receive one. I know that a few forum members have said they have never received one. I'm not sure if the mail disappears down there or if they simply don't send one out. But I do know the mail system is not reliable. Another member of this forum said she was able to track the file through ecas using her client ID. I have checked mine regularly and it says the status of the file in KG is not available. I'm not sure when it will be available but I keep checking anyway.
as for the medical - if you don't do it before you apply, they will send you a letter requesting you have it done. This will delay your process probably 60 days. You have to have it done regardless, so I would recommend doing it and sending it in. If you call and get your B# before you send it in that would be good. Or maybe you can use your client ID #, or just ask them how you should label it when you call.
When you have the medical done, you have to go to one of their designated medical practitioners (the website with that list is posted on page 311 of this forum). You have to bring a form that is in the guide along with photos. You will have to read the region specific guide for instructions which can be found here (scroll down until you find the Caribbean)
http://www.cic.gc.ca/english/information/applications/fc.asp#region
My hubby had to have a blood test and chest x-rays done and didn't have to go back to pick anything up. He was given a form by the doctor to send in with the application. It is my understanding that the results are sent to Trinidad & Tobago for review and then posted on a website or database that immigration will check for the results when it is time for them to review the medical portion of your application.
I hope that helps!!