Welcome first and foremost
Now with the formalities out of the way
I would encourage the use of the advance google search
This will help in finding multiple existing threads on the topics you are looking answers for.
Now to your question
You can take your own
Full Synthetic oil and premium filter and have them charge you for just for the labor
If they can provide you with a better price for
Full Synthetic oil and filter? thats fine also.
"Any" quality Full Synthetic will work fine.
Full Synthetic is required to keep the VVL as quiet as possible, and at a 5k interval oil change? You should be fine.