Originally Posted by
binman
I hope you got away
Things to remember in such circumstances are that you are in charge. Your choices are as follows and BA cannot force you to choose any particular one.
Re routing must be in the same cabin on any airline. It does not have to be one world.
The OP already made an update about being rebooked to QR tomorrow (presumably in J/C class; if not I would expect the OP not to have accepted the rebooking or at least to mention it in the update).