Should I leave my boyfriend because I don’t trust him?

In every other way he’s a great boyfriend, he loves me, shows me affection, always says he loves me. But i notice strange things about him. Like today a girl walked beside him to grab fruits. And then she walked to a different aisle and he went to that aisle after her. Another time he would stare at a girl infront of me. And he would smile flirtatiously at a waitress. He denies doing any of this but I see it with my own eyes. He says he only loves me but I don’t believe it

Should I leave my boyfriend because I don’t trust him?
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