We suggest to have these as separate sections or merge them into one.
Make sure it's clear how important your awards are.
Make sure the competition scope is clear: city-level, country-level, regional, or global.
Clarify how many people or teams participated in the competition.
If your award is not internationally well-known then readers will likely assume the award is not international and very small. Make sure to clarify the importance. See Ridiculous Resume Rule.
Make sure your international competitions are clearly visible. You can separate local and international awards into 2 different sections.
Many competitions give 1st and 2nd place to many people and “2nd place” can be understood as a prize given to tens of people. If you are the only person who got 2nd place say “absolute 2nd place”.
Rewrite “First”, "Second", etc as “1st”, "2nd" etc so that it’s easier to see what awards were more impressive.