Time machine/capsule read-only error I just got a new logic board installed on my Macbook Air (running OS X 10.9.4). Before the repair, I used a time capsule for backup (which has plenty of storage left). When my newly repaired MBA came home from the shop and tried to complete a time machine backup to the capsule, a message popped up that asked if I wanted to restore my previous backups. I selected that option, but it did not complete the backup and now I get an error message that says, "time machine cannot complete the backup because the disk is read only". I performed some simple troubleshooting (i.e., turned time machine off and unplugged the capsule), but no luck. 

I read on the Apple support page that I should try mounting the time capsule to my desktop and ejecting it from disk utility. If "mount" means connect, I cannot do that because it usually connects wirelessly and is not showing up in disk utility. (I don't know if it is relevant, but I use the time capsule for wireless internet, and it works just fine.) 

Can anyone explain to me (in the simplest, non-jargony terms possible) how I might troubleshoot this problem? I appreciate your help!
Read only is a fail safe mode for the backups. It means there was a problem detected with the backup and you can only restore from it. 

The system won't continue adding files since that would risk your losing even the ability to recover the files.

There is a procedure to re-attach a Mac to the existing backup once logic boards are replaced, but they assume that there isn't a failure of the backup at the same time.

You should have support from the people who replaced the logic board to help make sure you aren't just missing the steps to re-establish a backup, but if the backup were mine, I'd try backing up to a blank new USB drive and get a good backup now and then troubleshoot the Time Capsule to remedy the error causing the read-only status without risking your only backup. (Since the troubleshooting is to use Disk Utility to repair or erase the Time Capsule and then start over with an initial backup).