Check what your ArcGIS for Server 10.2 license is. I found when I used a Basic license I only had the option for Feature Service, but when I configured Server to use a Standard Workgroup license I was able to see the otpions I was expecting (ie mapping and KML).
I have the same issue. Indeed I have a basic license for the server because this is what my company has bought for development. However, it does not seem right that Feature Access would be the only available capability. In fact all documentation I have seen states that mapping is always enabled and there is no option to disable it. Indeed if I create a service definition to save to a file, mapping is there and impossible to turn off. If I publish the service and go to the server manager, it shows me that mapping is enabled. However, if I want to go to the .../MapServer URL, it gives me 500 server erorr. Only the .../FeatureServer URL works. This looks very much like a bug with the 10.2.2 server basic.
Hi Pavlin,
Apparently anything other than basic feature services is exactly what you do get with Basic license for server. You need standard if you want the mapping and KML capabilities.
I also found that trying to publish 10.2 services from 10.1 desktop doesnt work and will confuse matters further!