Jennifer Lopez releases a balloon during a romantic anniversary dinner at the Eiffel Tower with husband Ben Affleck

Jennifer Lopez Affleck turns 53 on her honeymoon with new husband Ben Affleck in Paris

Best picture / BACKGRID Ben Affleck and Jennifer Lopez

The celebrations continue for Jennifer Lopez and Ben Affleck!

The newlyweds enjoyed a romantic anniversary dinner for Lopez near the Eiffel Tower on Sunday evening, during which Lopez, 53, wore a long black dress, stiletto heels, a pearl necklace and earrings sparkling ears. Affleck, 49, wore a black suit, white shirt and black shoes.

Around 11 p.m., the couple arrived at the famous restaurant Le Girafe, an indoor/outdoor seafood restaurant inspired by the 1930s with a terrace offering stunning views of the Eiffel Tower.

An observer tells PEOPLE that the Argo actor/director and Marry me actress were seated at a table closest to the landmark and had a turquoise balloon tied to their table, which they had brought with them.

“They were close, very close to each other the whole time. They kissed a lot,” the source added, saying they seemed very “in love.”

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Jennifer Lopez Affleck turns 53 on her honeymoon with new husband Ben Affleck in Paris

Jennifer Lopez Affleck turns 53 on her honeymoon with new husband Ben Affleck in Paris

Best picture / BACKGRID Ben Affleck and Jennifer Lopez

RELATED: Jennifer Lopez and Ben Affleck visit Paris as they continue their post-wedding getaway

According to the Observer, Affleck took the photo of Lopez around midnight, when she got up from their table as the tower’s evening lights twinkled.

“Then she dropped the ball [and] get him going to the Tower,” the source said.

Lopez and Affleck finished their meal around 12:45 a.m., the insider said, at which time a server brought in a cake with candles.

When the stars returned to their hotel around 1:30 a.m., “there were still a few fans in front,” says the observer. “One of them had brought Jennifer a birthday present…one of those little Eiffel towers that light up. She was very touched and posed with it,” the source said, adding that Lopez carried the illuminated statue inside.

Earlier on Lopez’s birthday Sunday, the couple mixed couture and shopping culture. In the afternoon, the couple visited the Dior house on Avenue Montaigne, visiting a new gallery in tribute to founding designer Christian Dior. Afterwards, they spent several hours in the renovated Samaritaine department store, admiring its combination of Art Nouveau design and luxury goods.

The newlyweds flew to Paris for a romantic getaway last Thursday and have since been pictured in the French capital following their surprise wedding in Las Vegas the weekend before.

RELATED VIDEO: Jennifer Lopez and Ben Affleck fly to Paris after getting married at Las Vegas Chapel

Affleck and Lopez were spotted Saturday night at the newly opened Plénitude, a restaurant on the horizon of the Cheval Blanc hotel.

After dinner at the restaurant, the duo stopped for dessert at a Berthillon ice cream parlor on Île Saint-Louis. After their night was over, a bunch of balloons were delivered to the couple’s hotel suite around midnight.

Earlier today, Lopez and Affleck were seen having lunch with their children, before taking a private two-hour tour of the Seine on Petrus III, a 71ft teak ‘gentleman’s yacht’ built in the 1950s. They also visited the Picasso Museum in the Marais district.

The couple were previously seen kissing and cuddling on a park bench for more than two hours on Friday. A source told PEOPLE they were “like two teenagers…very loving, very caring.”

Lopez and Affleck then strolled through the city with their children on the same day, crossing the Marais district and rue des Rosiers, to the Center Pompidou. They also went vintage shopping and crossed the Seine to the Musée d’Orsay.