Del Piero, who notched 14 goals in his maiden A-League campaign last season, scored one and made one for Joel Chianese at Allianz Stadium, but Caravella played a part in both.
After 36 minutes, Del Piero worked his way into the penalty area, but appeared to have lost possession to Connor Chapman only to be gifted it back when midfielder Caravella ran into Chapman.
The veteran striker picked his way through what little defence was left and expertly slid the ball across goalkeeper Mark Birighitti into the far corner of the net.
Del Piero opens up about life with Sydney FC
New A-League season: Five of the top players
Caravella, who signed a one-year contract extension earlier this week and is the nephew of Sydney coach Frank Farina, was also culpable for the second goal on the hour.
He was dispossessed by Del Piero, who fed the ball to Chianese who lashed a powerful shot into the net.
Sydney created far more chances against a Newcastle side lacking penetration up front, with strikers Emile Heskey, Michael Bridges and Joey Gibbs all on the injury list.
The Jets had a couple of decent chances after Chianese’s goal, but rarely exposed Sydney’s new-look rearguard, which included three newcomers to the club.
Adam Taggart flashed a strong header just over the bar and Craig Goodwin’s free-kick was saved by Sydney goalkeeper Vedran Janjetovic.
Del Piero helped enliven the game after a dull first quarter.
Chianese had a shot blocked by Birighitti in a one-on-one situation created by a Del Piero pass.
Former Newcastle player Matt Thompson almost marked his Sydney debut with a goal when his 20 metre shot crashed off the crossbar and then bounced off Birighitti’s back.
Becoming progressively more involved, Del Piero sent a wicked 20 metre drive just over the bar a few seconds before halftime.
The Jets showed some nice touches early on through Nathan Burns, James Virgili and Craig Goodwin, but didn’t create any good first half chances.
Don’t miss the A-League Highlights show on Monday from 8.40pm on SBS 2 for all the action from Week 1