It appears that some or more apps are getting into conflict with some of the ROM data. Probably it is related to some Google Apps. What I did to solve this problem was reset the phone and then install the apps I wanted. Then, I restored the apps but deleted all former system and Google Apps from the backup before restoring. No problems yet.
So, it seems that this conflict is causing all the problems with the instalation of the apps. Don't know exactly what, but hope this helps.