Alcohol sales were banned under levels 4 and 5 of the coronavirus lockdown, but as the nation moved to level 3, the restrictions were eased.
The Bishop Lavis Action Community group said schools were simply not ready to open on Monday and next week.
The Basic Education Minister is due to set out plans for the new date when schools would be opened, which was moved from 1 June to 8 June.
The taxi industry was among the hardest hit by the coronavirus pandemic with limitations on the number of passengers per load.
Africa's most industrialised nation is preparing to reopen its economy on Monday as it moves into level three of a five-tier lockdown, in force since 27 March, sowing bitter divisions.
Mbali Fraser of the ANCWL in KZN said Dlamini-Zuma had been the subject of unfair criticism and racist outrage since the start of the lockdown, and this needed to stop.
Religious gatherings of up to 50 people were now permitted across South Africa's churches, mosques, synagogues, and temples.
As parents, you have entrusted us with the welfare and safety of your children, writes the president.
Many South Africans were familiarising themselves with the new rules under level 3.
This was not the first time a school readiness briefing by the minister was postponed.
The president said he should have been the one to announce the overturning of the decision.
The health ministry has also confirmed 1,716 new cases of COVID 19, putting the total number at 32,683.
In a last-minute statement issued by the Basic Education Department on Sunday, these pupils should return to school on 8 June only.
President Ramaphosa convened a virtual meeting with the South African National Editors' Forum.
After over two months of stringent measures to curb the coronavirus, South Africans will have to familiarise themselves with another new normal.
This was due to the impact of the COVID-19 pandemic on the testing programme.
"I see a good future for SAA, and similarly, I see even a better one for Eskom."
On this day, all South Africans are called upon to turn their thoughts to all who have been affected by the COVID-19 pandemic.
The 16-year-old was kidnapped and assaulted late last month after being accused of stealing alcohol from a local tavern.
The social media post depicts the minister as an ape. It was first put on Facebook.
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