Here's how to create a TargetType. Mutatis MutandiMutandis for a Publication Target. (This is powershell with some namespace magic wired up, but enough to show the process. It's the same in C# or whatever)
$newTargetType = $core.GetDefaultData([ItemType]::TargetType, $null, $null)
$newTargetType.Title = "foobar"
$newTargetType.Description = "foobar"
$core.Create($newTargetType, $null)
As long as I've got the shell open, why not throw a couple of queries at a publication target
PS C:\Users\Administrator> $core.Read("tcm:0-1-65537", $null)
DefaultCodePage : 65001
Destinations : {Tridion.ContentManager.CoreService.Client.TargetDestinationData}
MinApprovalStatus : Tridion.ContentManager.CoreService.Client.LinkToApprovalStatusData
Priority : Normal
Publications : {Tridion.ContentManager.CoreService.Client.LinkToPublicationData}
TargetLanguage : None
TargetTypes : {Tridion.ContentManager.CoreService.Client.LinkToTargetTypeData}
Description : visitorsweb
ExtensionData : System.Runtime.Serialization.ExtensionDataObject
AllowedActions :
Id : tcm:0-1-65537
IsEditable : True
ListInfo :
Title : visitorsweb
VersionInfo :
PS C:\Users\Administrator> $core.Read("tcm:0-1-65537", $null).Destinations[0].Title
upload.visitorsweb.local
Enough to show that it's pretty straightforward to get most of the information you need.