Most of these issues are caused by not having enough space in the partition because installer cannot yet check free space and tries but fails to install properly, you need to unistall or delete non working apps, then when you have created space, install BossTool to create space more space in the partition. check the help files in bosstool it explains it all in detail and also tells you what your free space is
If installer keeps crashing and you cannot use it to uninstall You may need to SSH into your phone or use iphoneBrowesr to delete apps, another cause of installer crashing is often because you did not update to the latest version 3 before upgrading to 1.1.3 now I'm sure no one was foolish enough not to follow the guide properly so that should not be the cause

but if this is your problem you need to manually install the new version 3 or go back to 1.1.1 and follow the guide properly. Also please not that many apps have not been updated to work with 1.1.3 yet so they will crash or fail to install properly because 1.1.3 changed the directory structure. There is a list elsewhere of working 1.1.3 apps and fixes for some.
The above is why many people have given up and moved back to 1.1.2