Home: ORACLE_HOME, an environment variable that points to the location
of the Oracle binaries (either location Instance runs from on server or client
runs from on client)
Hostname: name of the server
Port: Port on which the Listener is listening for Oracle connections
SID: **S**ervice **ID**entifier. The name of the the Database. This is
one of the identifiers that the Listener will expose
Service name: An alternate identifier that may be exposed by the Listener
On an existing, configured site the easiest way to find these details is from a tnsnames.ora file on a client (or server) from which connections can be made to the Database. Look under $ORACLE(underscore)HOME/network/admin. Find the ORACLE(underscore)HOME with a set (Windows) or env (Unix) command. The tnsnames.ora might also be in a location pointed to by the variable $TNS_ADMIN.
If a tnsnames.ora cannot be found and you have access to the server try the following command, generally as user Oracle
lsnrctl status
lsnrctl is the Listener. Status will show SIDs and Service Names it knows of (and a couple of other details)
Or find the files listener.ora and sqlnet.ora under $ORACLE_HOME/network/admin or in the location pointed to by the env variable $TNS_ADMIN
Generally there will be one listener per host, therefore one Port per host (there could be more but its not common)
To connect to Oracle you have to point the client to the Listener at a location specified by a Hostname/Port combination and tell it which SID or Service to connect too.
DCookie's comment about SID versus Service name is essentially correct.
The SID can be found with (depending on version)
select db_unique_name from v$database
or
select db_name from v$database
Or by looking in the file $ORACLE_HOME/dbs/init(SID NAME).ora or by doing
ps -ef | grep pmon
and noting the last part of the process name, e.g. ora(underscore)pmon(underscore)SID