Okay, this is the first time I've been through stuff like rooting, installing another recovery tool, new system, flashing etc.
I've installed Cyanogenmod 11 which has Android 4.4.2 and I've also installed GApps 4.4.4 which I've taken from XDA Devs. When I first booted into the new system, the Google Keyboard wouldn't work. Then I was advised (via a question from this site) to clear the cache and dalvik cache from System Recovery mode. This ended up giving me even more "Unfortunately X has stopped working" for different apps, including Playstore.
How do I make the GApps work with my newly installed system? How do I fix these problems?
This is the guide I followed, but it doesn't provide the good GApps that would work on my system (tried them): https://www.youtube.com/watch?v=vfYOfgnnVIQ&hd=1#!
Edit
Exact errors I am getting:
Unfortunately, the process android.process.media has stopped.
Unfortunately, Google Play Store has stopped (when opening it)
Unfortunately, Google Keyboard has stopped