Yes it is true. The Holden Barina is a rebadged Daewoo Kalos, which has been rebadged as the following:
Holden Barina (TK)
Chevrolet Aveo
Pontiac G3
Pontiac Wave
Pontiac G3 Wave
Suzuki Swift +
Chevrolet Lova
Chevrolet Kalos

They should work.

The headlights depends on which body style you have. If it's the hatchback, than no as the USA got a completely different front end (see picture below). 2009-present hatchbacks though have the same front end as the USA Aveo. The Australian Holden Barina Sedan is identical to the 2007-present Chevrolet Aveo sedan. Tail lights however were identical. Engines for Australia and the US are identical too so yes, the should work.