LWJGL - Shadow issue and need tips

So I starting texturing my models and started modular parts of the map. Like cliffs.

However, it looks like theyre floating… How can I break this illusion.

And another new issue for some reason now when models are UV mapped the shadows are wonky…

http://i.gyazo.com/4ad245a126bacd6d1b46bfdb0a51f1de.png