You write: (c) (Rav Asi): A Minyan is always required.
This seems to contradict Rashi dh v'Rav Asi amar. Rashi says clearly that this means just that it's a mitzva to try to find a minyan, but if you can't find one you're still required to read it alone. Who are you basing this on?
Pinchos Osher Rohr, Yerushalaim
When we wrote "required", we meant required l'Chatchilah, if a Minyan can be found. We have changed the files online to make this point clearer.
Best wishes and thanks for writing,
Kollel Iyun Hadaf