MacMiner uses BFGMiner, CGMiner and a few CPU miners - if you use the ASIC device window, open the prefs panel with the cog button and select the checkbox for antminer - restart and hopefully you're good to go!
Are you using the GPU miner window in both instances? The CPU miner window doesn't show up in mobile miner at all (at least I'm pretty sure I didn't add support for that window! it's been a while…)
It looks to me as though it IS mining, on 4 CPU threads, which if Paycoin difficulty is anything like pretty much every other coin these days is probably not enough for your to find a share… even if you did at CPU speed it's unlikely you'd reach any…
only use one instance for each item of hardware. don't run two instances for your GPU, but if you want to have a different one for GPU and ASIC mining that's fine.
I think the false positives are where it thought it had solved a share but the pool rejected it. You'd have to ask luke-jr who makes bfgminer to be sure!
you don't want quiet and debug at the same time, they do opposite things, it's about log detail. CPU mining is way too slow for Bitcoin these days which is why you get so few shares!
If you have the miner window that's running selected, use the keyboard command cmd-S to stop it. It can take a while if the intensity is set high and you're GPU mining!
I can only guess that it's a problem with CPU miner, that maybe will be fixed in the back end. try using another pool maybe? I'm afraid you won't get much with 2 threads though!