Consumer Cellular doesn't update, so you'll have to wait for LG to send the update - if it was factory unlocked. If not, you'll have to find an update file yourself and apply it -
XDA Forums would be your best bet.
If AT&T has already issued the update, and it's not still staged, switching might get the update if you started it manually (in Settings). But XDA, if someone captured an update file (they delete themselves once they're installed, so only a few people do it), would work regardless. If it's labeled AT&T, look for an AT&T update file.
No idea about the pausing - it could be hardware or software related.