Heavy data lost in InnoDB after a bad-shutdown (no replies)

Hello,
I had a bad day with InnoDB... After a power-off my DB lost 6-days of data, i can not understand why. The server could start correctly, however in log files I found a log sequence error:

Version: '5.6.13'  socket: ''  port: 3306  MySQL Community Server (GPL)
2013-12-22 20:38:54 380 [Note] Plugin 'FEDERATED' is disabled.
2013-12-22 20:38:54 380 [Warning] option 'innodb-autoextend-increment': unsigned value 67108864 adjusted to 1000
2013-12-22 20:38:54 388 InnoDB: Warning: Using innodb_additional_mem_pool_size is DEPRECATED. This option may be removed in future releases, together with the option innodb_use_sys_malloc and with the InnoDB's internal memory allocator.
2013-12-22 20:38:54 380 [Note] InnoDB: The InnoDB memory heap is disabled
2013-12-22 20:38:54 380 [Note] InnoDB: Mutexes and rw_locks use Windows interlocked functions
2013-12-22 20:38:54 380 [Note] InnoDB: Compressed tables use zlib 1.2.3
2013-12-22 20:38:54 380 [Note] InnoDB: Not using CPU crc32 instructions
2013-12-22 20:38:54 380 [Note] InnoDB: Initializing buffer pool, size = 86.0M
2013-12-22 20:38:54 380 [Note] InnoDB: Completed initialization of buffer pool
2013-12-22 20:38:54 380 [Note] InnoDB: Highest supported file format is Barracuda.
2013-12-22 20:38:54 380 [Note] InnoDB: The log sequence numbers 5988825 and 5988825 in ibdata files do not match the log sequence number 6057379 in the ib_logfiles!
2013-12-22 20:38:54 380 [Note] InnoDB: Database was not shutdown normally!
2013-12-22 20:38:54 380 [Note] InnoDB: Starting crash recovery.
2013-12-22 20:38:54 380 [Note] InnoDB: Reading tablespace information from the .ibd files...
2013-12-22 20:38:57 380 [Note] InnoDB: Restoring possible half-written data pages 
2013-12-22 20:38:57 380 [Note] InnoDB: from the doublewrite buffer...
2013-12-22 20:39:07 380 [Note] InnoDB: 128 rollback segment(s) are active.
2013-12-22 20:39:07 380 [Note] InnoDB: Waiting for purge to start
2013-12-22 20:39:07 380 [Note] InnoDB: 5.6.13 started; log sequence number 6057379
2013-12-22 20:39:07 380 [Note] Server hostname (bind-address): '*'; port: 3306
2013-12-22 20:39:07 380 [Note] IPv6 is available.
2013-12-22 20:39:07 380 [Note]   - '::' resolves to '::';
2013-12-22 20:39:07 380 [Note] Server socket created on IP: '::'.
2013-12-22 20:39:12 380 [Note] Event Scheduler: Loaded 0 events
2013-12-22 20:39:12 380 [Note] C:/Program Files/MySQL/MySQL Server 5.6/bin\mysqld: ready for connections.

It seems that the server starting solved this error, however I cannot find several records. I'm sure these records were written because I have an evening backup with all data. Mysql could start and saved all new data correctly with a 6-day gap.

My question is: is it normal the starting without an "error" but just a "note" in log? How may I have lost 6 days (maybe 200/300 records) of data (I'm sure during these 6 days many shutdowns were completed correctly)? Is there any
advice to prevent this kind of problems?

Thank you.