Congratulations!
You just learned that chipping doesn't work under the conditions given.
A chip must land on fringe or green to run it's way. It will fly about 20% of the desired length. On fairway or rough, it will stick on landing.
With fairway in front of you, a pitch might have been better, or a flop, with proper equipment.
And yes, the "free" game ends when you expect more than the Starters can give you.
Alas, I'd not start with buying a putter but wedges. Then driver, then woods/irons, at last the putter.
Edit:
Having seen your advanced equipment, only the last Starter wedge needs to be replaced.