Phone and Contacts app missing from phone

Hi,

After a factory reset to Lollipop 5.0.2, I don't seem to have the Contacts or Phone app anymore. How can I solve this?

The background story is as follows:

I recently resat my Z1 Compact and installed Lollipop 5.0.2. Earlier I had a CyanogenMod version, but it had some annoying bugs, so I decided to go back to stock Android.

I used Titanium Backup to backup apps and user data from CM. When I tried to restore these apps and userdata in Lollipop, I got error messages all the time, saying "android.process.acore", "android.process.phone", "Phone", "Top Contacts" and "Contacts" had stopped working. Trying to get rid of these error messages, I cleared the data and uninstalled some apps related to Phone and Contacts, but the error messages kept coming.

I therefore did a factory reset again. I discovered that I did not have any contacts synced on my phone, so I tried to sync them.

It turned out I couldn't find neither the Contacts app or Phone app on my phone. It is therefore impossible to enter the settings in the Contacts app to make the phone sync contacts.

I have tried searching, but I haven't found a solution.

What can I do to fix this?

Thanks in advance.