"Investigate the blockchain"  

Why, my dear man, that's what the Krypton Block Explorer is for!

http://Explorer.Krypton.Rocks

Have you tried re-syncing your KR wallet with a fresh chain download from CryptoChainer?

http://cryptochainer.com/dir/?page_id=881

Have you added more nodes to your wallet?

The instruction to do so is "addnode [node ip address] add" from the QT wallet command line.

Here is the list of active nodes:

http://45.55.55.74:3001/network

If you're still having problems with syncing, please visit irc freenode #Kryptoncoin.