As @PhoneBoy said, your management should be your log server. What do you get with the API call "show-checkpoint-host name <server name> details-level full"? You should see:
"management-blades" : {
...
"logging-and-status" : true,
...
}
...
"logs-settings" : {
"enable-log-indexing" : true,
...
}
If not, then you need to enable the Logging blade on your management object as well as log indexing. The show-logs API requires the indexer to be running. Use SmartConsole to enable both options:
* Edit your management object, select the the "Logging and Status" checkbox in the Products list
* On the left tree, select Logs, and enable Log Indexing
* Click OK, publish changes
You'll have to wait for the indexer to load the logs into the database which can take time, depending on your log size and any historical logs. If you need to load historical logs, then you'll need to use sk111766.