Battered and bruised by Switzerland in a 1-1 draw on Sunday, Neymar's appeals for more protection did not impress Kuipers, who consistently told the Paris Saint-Germain star to get to his feet instead of appealing for free-kicks.
In a match packed with controversy-Neymar was awarded a penalty that was then overturned by the video assistant referee-Brazil finally broke through in the 91st minute, as the Barcelona midfielder latched on to a loose ball in the penalty area and fired past Keylor Navas.
Costa Rican fans and media were bitter after their team was eliminated from the 2018 Russia World Cup, after losing 0-2 to Brazil.
Brazil went into halftime with the boos and whistles of their own fans ringing in their ears but emerged with a renewed sense of objective, with Jesus heading against the bar four minutes after the restart and Coutinho sending the follow-up effort narrowly wide.
"When I gave the ball back (to Costa Rica) he insulted me", Silva said in comments reported by globo.com.
"This World Cup isn't being (easy) for anyone", Gabriel Jesus said.
"I wouldn't like there to be hard fouls on Neymar, the boys know that well", said Ramirez. Neymar then angrily punched the ball a short time later as Costa Rica's players tried to waste time.
The match between Brazil and Serbia in Moscow on Wednesday could yet determine which teams finish in first and second place in Group E.
The spearhead of Brazil's attack came through the game unscathed and will be delighted to have opened his account. He was three-and-a-half months out with injury.
"It's possible I'm going to score another two goals", said Musa, 25, who scored Friday in the 49th minute on Victor Moses' cross and again in the 75th minute. "We need a similar defensive performance with greater effectiveness up front".
With 15 minutes remaining it was desperation time for the five-time winners, with Tite and the vast number of Brazilians inside the Saint Petersburg stadium hoping for a miracle.
Brazil were questioned at that tournament for their psychological readiness - the players' looked seriously freaked by Neymar's absence ahead of their 7-1 capitulation to Germany in the semi-final - and the same questions are starting to be asked now.