If you want to just copy your setup from the old Pi to the new one you can just copy the userdata folder and that would give you two independent setups.
If you wanted to share a library so you have a shared watched status and only have to update the library on one of the machines then you would have to setup a MySQL server (probably on the PC). Information for that can be found in the Kodi wiki.
That indicate you have installed Samba Server on the first Pi (you can confirm via MyOSMC - App-Store. If that is the case check this how to use the other Pi as a Client. For shared library check what @darwindesign wrote.
If you clone the SD card you will have to turn only the second one on first and change its ip address before plugging back in the first. You can share files from the first RPi to a second but why would you do that instead of having that drive plugged into your PC and shared from there as well?
If you want help setting up a share from the first RPi to the second you need to provide a full log from the first RPi so we can see what you have setup. You should have been able to just browse for the share between the two RPi’s but the “//staticIPraspberry/media/” is not a correct path as it would be something like “smb://192.168.x.x/name_of_share/”.
You do not need a static ip on the second RPi if your not sharing anything from it. Changing the ip was just because you can’t have two machines with the same ip and cloning it will also clone the static ip you set on the first (assuming you did this on the RPi and not your router). The clone is just an easy way to copy over the library, settings, artwork cache, etc. from the one you already had working.
Dear, this soluction is good for intranet “smb://user:firstname.lastname@example.org/media/”.
If I use my second RPi in external network and I set this “smb://user:pass@linkDDNS:port/media/” it’s not working. Please, could you help me?