Hello Marja, It is proper to use also the "past perfect continuous tense" in your example. There are 2 category of actions that happened in the past. The past perfect continuous will clarify which action happened first (having lunch). Your sentence is one of the cases where the past perfect continuous tense could be interchangeable with the simple past perfect tense. Using it will emphasize the length of time of the activity taking place(having lunch). The second action is stated then in the past simple tense ( sat together). Using the past perfect continuous tense is more adequate, because in your example it links between the 2 actions of having lunch and sitting together. This tense also represents the conclusion of an event action in the past. The event of having lunch led us to sit together after wards to do some relaxing activities such as playing cards and drinking tea. So you could say also: "After having had lunch we all sat together ......." Using that tense you will have emphasized 3 points: - The past action preceding another past action. - The length of time; the duration of the action. - The conclusion of the event action.

"After having lunch" is correct. "After we had lunch" would also be fine. I prefer "after having" because you don't need to repeat "we". You could also just say "after lunch", though that's a little different. (A couple little things- instead of "home exercises", we usually would say "homework exercises". Also, it should be "my teacher didn't correct it", not "didn't corrected".)

The example I gave you "After having had ...." is correct and it is not the past perfect continuous tense "After having had lunch......" is neither the present perfect continuous ! The later would be "After we have been having lunch..."....Don't use that one....I am sorry ,looks like I am confusing you ;) I didn't give an example for using the "past perfect continuous tense" which would be as follows: "After we had been having lunch ...we sat together..." However you can simply use the simple past . What I mentioned before was the possibility of using this more intricate tense and it would emphasize the points I mentioned previously. "After having had lunch ...." or " After having lunch" are both ok ! If you say "After having lunch" here "having" is a verbal noun ,it is a noun not a verb formed by adding "ing" to the verb "to have". You can use it as well. Is it a bit clear now?