That's exactly what's supposed to be done at first check up. After a new car starts being used a minor general check up is required to see all is in order.
At the second check up only engine oil will be changed, again suspension checked, air filter cleaned, fluid levels check and that's it.
At 3rd check up again same procedure as second with addition of oil and air filter replacement.
The cycle continues at every 5k alternatively with some exceptions at 20k like brake service and 40k tuning.
***Valid for 1.8
My feedback on Civic 2016: http://www.pakwheels.com/forums/showthread.php?t=278004