The Root certificate authority contains information about the Country, Location, Email-address, etc. of the origin, while the second contains a Serial number and a version in the Subject and Issuer information. Are these the same things?
No, the properties you listed are not the same. A certificate must have a Subject and Issuer and it may additionally contain a Country, Location and Email-address, etc. What is included in a certificate depends on its type and what the owner wants in it.
Can there be root certificates that are not self-signed? I thought "Self-signed root certificate" would be a tautology.
Let's take a look.
A self-signed certificate is just that. A certificate signed by the private key, which is the pair of the public key embedded in the certificate. When building a trust chain, this type of certificate can only appear at the root of the chain as it cannot have anything after it (since it is signed by itself). Here comes the twist. The trust chain building will stop when a trusted-root certificate is encountered. This is trusted-root is always self-signed.
However, there exists a special case when a CA who newly enters the field publishes its "root" certificate which is not self-signed, but cross certified by a well established CA, making it an intermediate certificate. This allows the new CA to start operations before its real root certificate is distributed to the browsers and OS trust stores. A great example of this is Let's Encrypt's root certificates. They are cross certified by IdenTrust.
To sum it up, yes self-signed certificates are by definition root certificates, making it a tautology.