Hi mordy, I would love to help you and answer your questions, but....
Don't attack with questions, ask one question at a time, so that its easier for me to answer it.
Second, please search before you ask, all of your questions have already been asked numerous times.
And third, after you search, READ the results, its in there. Dont just post in the appropriate thread.
You can transfer Chase UR and Amex MR points to BA Avios, each on their respective website, or by calling the number in the back of your card.
If you can post the origin and destination, dates and number of passengers, we may try to figure out why you don't see availability. (sometimes its simply not available).
Welcome!