Insufficient Storage Available when installing Google Play Services
First, turn off power on and off your phone and see if the problem still exist . If so,
Go to your storage usage located in your settings and try deleting one unimportant app 
If steps #1 or #2 didn't work or go through, just simply unmount the SD card the correct way. Don't just pull it out. If you have been doing this, it is probably why it's doing that now.
If you have done these steps, it should work. If not, go to a little side store that fix phones or the mall. You can also go to your service provider and see if they can fix the problem. Otherwise, go to amazon.com and look up SD card installment kit and you should be able to pick which one you want from them.