All of my .bomb purchases eqm have posted with the card, no problems finding and buying SWU-able (both immediate and waitlists)fares on .bomb. Not sure why you had to call to get them held, not all fares are holdable, so I just purchase immediately (have monitored them for quite a while).
No eqms for taxes for a *A redemption over the phone though.
As for chase response, I have not contacted them about miles, but my enquiries via the secure system has always been replied within 24 hours, if not within 4 hours that I sent it. Not sure why yours took so long.