Q: how to get out of recovery mode

iPhones don't run Classic.  I've asked a moderator move your post here:

Using iPhone

Although as it is a weekend, you may prefer to post there yourself for a quicker response.

This addresses what to do for error 4013:

iOS: Restore errors 4005, 4013, and 4014

If you need to do recovery mode again, follow this article:

If you can't update or restore your iPhone, iPad, or iPod touch

If your phone is in recovery mode you have no choice but to restore it.

How to Get iPhone Out of Recovery Mode

All the data on it is already lost if it is in recovery mode, you will have to restore it and when setting it up again at the end of the restore process your phone will restart and you will have to set it up again as you did when it was new.  In the process you will be given the option to restore it from and iTunes or iCloud backup.  If you have been backing up to iCloud choose that (be sure to plug your phone in to a wall charger as this will take hours to complete). 

If you haven't been backing up to iCloud choose restore from iTunes backup, then restore from  the backup you created the last time you synced your phone.  If it won't restore in recovery mode by connecting it to iTunes you will have to try putting it in DFU mode to restore it.