Credit: Matrix/; Kevin Mazur/

Ay carumba!

Jessica Simpson and her new man Eric Johnson had a boozy, affectionate date in NYC on Wednesday -- and her Mom tagged along!

Around 6:30 p.m., the new couple hit Mexican eatery Dos Caminos in Manhattan's trendy Meatpacking district with Jessica's mom Tina and several other pals.

Holding court on the second level, the merry group ordered numerous rounds of margaritas -- plus tequila shots! -- with their dinner. Jessica, 30, noshed on the house-made guacamole for her entree. According to a witness, Jessica and ex-NFL pro Johnson were "very touchy-feely" throughout the meal. "He always had a hand on her back, was touching her hair and kissing her head," the observer says. When the table was cleared, the lovers even "made out a few times!"

Sitting directly across from the couple? Her Mom Tina. "Couldn't believe how affectionate they were in front of her," the witness says.

(In between the PDA, Simpson attended to her iPhone and Johnson cheerfully showed off his iPad to pals.)

"She looked super happy," the Dos Caminos witness says. "And he was very attentive to her. They looked like they've been dating for ages."

Jessica's little sister Ashlee Simpson-Wentz recently told Us that she approves of still-married Johnson, who's been dating Jessica for about six weeks.

"She is happy, so we are all really happy," Ashlee, 25, told last Thursday. "Her happiness is the most important thing to me."