Q: migrate from time machine specific date

If you're migrating from a Time Machine backup, you might be asked to enter a password for the backup or Time Capsule. You should then see a list of backups organized by date and time. Choose the backup that you want to use, then click Continue.

Move your content to a new Mac - Apple Support

http://apple.stackexchange.com/questions/54672/how-select-date-of-full-backup-to -restore-with-time-machine-not-the-lates…

http://apple.stackexchange.com/questions/119705/restoring-selected-files-from-ti me-machine-backup-of-a-different-mac

http://pondini.org/TM/E2.html