levels are only for unlocking equipment.
to move up you have to 1. play a certain minimum number of ranked stroke play rounds at your tier and 2. lower your average to a certain number
see "changing tiers" faq over here>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
so far you've played only 9 holes! I guess you've been playing in practice mode... switch to "ranked" (this includes free weekly and monthly tournaments)
just play, learn and get better and you'll move up