The battery drainage might be caused fron the air kernel, i had the exact same issue, but after flashing matr1x everything was ok. also in case you flash another kernel remember to remover airtweak form init.d folder on your phone that is automaticaly installed with air.
edit: there actually seems to be no airtweak script so don't mind the mention on this, above
As for the apps you might want to consider THIS, it's a pc batch backup programm written by a fellow developer that also supports data backup and restore, i'm actually using it right now and waiting to see what happens
edit2: the programm seems to work like a charm, as of now, every app seems to be back in place and no data missing
+1 when i changed kernel my phone was performing much better. I believe Matr1x V18,5 is more "battery friendly".
As soon as Cybergr releases his new fixed version i will have it installed. Anyway V9 was the BEST rom i ever used.
At the moment, since i only have one phone, i needed something more stable in terms of battery life.
Για σου μεγάλε!!!