After a second place in the series opener in Australia and a fourth place in Dubai, Amor will be disappointed his team failed to progress beyond the group stages in South Africa, following narrow defeats to Samoa and Argentina.
But wins over Scotland, the USA and Australia - the latter a pleasing 28-19 victory in the bowl final - secured them some reward for their endeavour.
In addition, Tom Mitchell finished the tournament one point behind top scorer, New Zealand's Tomasi Cama, with 50 points.
"The boys were disappointed yesterday and there was a lot of heart shown after that," said England captain Tom Powell.
"We've beaten a lot of good teams to win the bowl."
Elsewhere, Scotland won the shield after finishing bottom of their group while Wales lost to Australia in the semi-final of the bowl.
"We are disappointed but after we lost to England we knew we had to come out and show some character and what we are about, which we did," said Scotland captain Colin Gregor.
South Africa beat New Zealand to win the overall final and the next round of the IRB Sevens World Series takes place in Las Vegas next month.