How to make rooted android phone faster and avoid battery drain
Crossbreeder is a great addition to any Android device. It does a lot of things, among them: DNS caching and paralleling, ad and spyware blocking, modulation of OS entropy levels. It helped A LOT  when I had an HTC One V [1.5GHz CPU (OC'd), 512 MB RAM, Android 4.2.2]. So much so that I also flashed it onto my Nexus 5.

Greenify helps by allowing you to manage background processes and program it accordingly for best results. 

Lastly, Titanium Backup has the only "move to SD card" feature that I can vouch for. Give it a try and see if it can move the apps you need off your SD card. You should also note that this might the associated app's widgets unavailable (see Issue 11283; opened in 2010 and marked as "WorkingAsIntended").