The Baggies opened the scoring thanks to new signing Grady Diangana in the 10th minute, but Calvert-Lewin leveled with a back heel that was given after consultation with VAR.
Crouser unleashed a throw of 22.74m at his third attempt, beating his own meeting record of 22.28m set here in 2016.
To be the first to win the national double a third consecuitive time in the league's history might be a driving thought for the titleholder.
Marcio Barbosa pulled one back through a fabulous solo show in the 52nd minute. Dong Honglin scored an equalizer within one minute.
Thiago began his career at FC Barcelona, progressing through the youth system with his brother Rafinha, and said one reason he joined Liverpool was that it had a "family" feeling.
Serginho then turned from hero to villain when he received a second yellow card for scything down Carlos Eduardo two minutes from time.
The 28-year-old was one of five Premier League players included in manager Lionel Scaloni's preliminary 30-man squad on Friday.
Frank Lampard's expensively assembled Chelsea side also began the new season with three points, winning 3-1 away at Brighton & Hove Albion in the Monday evening kick-off.
Raul Jimenez put the away side in front with a half-volley from Castelo Podence's left-wing cross, before Romain Saiss's header from Neto's corner completed the scoring.
PSG controlled the ball with more than 70% possession and created a couple of chances on 20 attempts in Wednesday's game, but they were all denied by Metz goalkeeper Alexandre Oukidjia until Angel Di Maria's cross in stoppage time forced Oukidja to parry it to Draxler, who nodded it home for the winner.
The top four teams at the end of the qualifying tournament - in which teams play each other twice on a home-and-away basis - will automatically earn a World Cup berth. The fifth-ranked side will advance to a two-legged intercontinental playoff.