Search Results: her ex boyfriend still in picture

My boyfriend dated this girl 4 years ago
she's his first everything (first girlfriend, first sex, first kiss, etc)
They dated for 6 months
Then after that he started having flings
And then 3 years later, he gets into another relationship with another chick
And they dated for 4 months
Then he tried to get back together with his first ex but she rejected him
Then 2 months later, he met me, and we started dating/seeing each other often and then exclusively boyfriend and girlfriend
We have been dating for 1 year 2 months
He calls me everyday
We spend weekends together
he's very affectionate in private and in public
We are going to go on vacation in 3 months time
Im the only girl he's introduced to his parents
He uploads pictures of us together on his fb and instagram often and puts them on public and saying that im his girl.. etc
Is it still possible for him to still have feelings for his first ex?

First off.. him and his first ex girlfriend was only together for 6 months
They dated 4 years ago and they work in the same place
They broke up coz she left him for another guy
She was his first girlfriend, he lost his virginity to her, and i think his first love
Then after he started having flings or being single for 3 years
Then after the 3 years, he got into a relationship and dated this girl for 4 months
They broke up coz he realized she's using him for money
Then he told me he tried to go back with his first ex girlfriend but she rejected him
Then after that, he met me a month later and then we started dating and then got into a relationship
We have been together for over a year so this is his longest relationship
But thing is.. a week ago, I checked his facebook on his phone and I went on his search bar... and I saw his first ex gf's name
And i went on his inbox and he mentioned about her to one of his friends calling her a "bitch" and how she downgraded to a skinny guy
My boyfriend is a really fit guy
But anyway, I confronted him about it and he said he only searched her up coz she still works in the same place and one of the guys he works with was asking about her and showed him her facebook
And that he only said what he said about her boyfriend to his friend is to feel good about himself
He told me that he hardly sees her at work because he tries to avoid her and she only works night time and weekends and he doesn't
He told me he hasn't spoken to her ever since she rejected him after he tried to get back with her
So guys.. do you think he still has feelings for her?
Or over her?
If he does, then wtf?
Im his longest relationship and she fucked him over
He tells me loves me everyday and shows me that he does love me
And everyone at his work knows me since i met some of them and he has pictures of us on his fb and instagram
Oh and he also said that the only girls he had deep feelings for.. is his first ex girlfriend and me
He never had real deep feelings for the flings he had and the second ex girlfriend

I found out he's still liking her pics and keeping tabs on her, she doesn't follow him or like his stuff. Why would my boyfriend search for a picture of some random guy his ex is interested in (I doubt she has mentioned the guy to him in any way, so he must have done some research) and like a picture the guy has posted of the two of them?