In the days following his return, Mr Dowd would spend some of his time working at his mother's place.
However, shortly afterwards he was called into Mr Wang's office who made it clear that Mr Dowd was only to work at the office or the construction sites, the authority said.
Mr Dowd said he would visit his mother's house were because he was not feeling well and he was trying to cope with his new position following his father's recent death.
On Monday May 19, Mr Dowd resigned from his employment with immediate effect.
"Mr Dowd says he was not well and was grieving the sudden death of his father. Mr Dowd felt unable to continue working," the authority said.
The company sought wages it had paid to Mr Dowd for work not done on Good Friday, April 18; and between 2 and 2-1/2 on three other days where he worked at his mother's house.
Authority member Anna Fitzgibbon said Mr Dowd was entitled to payment for Good Friday as it was a statutory holiday.
Mr Dowd was also entitled to be paid for work done on the other three days despite that the work was not completed at the office or construction sites.
Warm Kiwi also sought payment of $1320 from Mr Dowd - the equivalent of two weeks' wages. It said Mr Dowd left work immediately without giving his two week notice.
However, Ms Fitzgibbon said there was no evidence of loss suffered by Warm Kiwi or of any expenses incurred by it as a result of Mr Dowd's actions in resigning without providing the required notice.
"In my view, Warm Kiwi is unable to recover two weeks wages from Mr Dowd under the employment agreement. The forfeiture provision is not enforceable in the circumstances."
Mr Dowd could not be reached for comment.