Search Results: i dont know if i can trust him

Yesterday night i had planned to be with my boyfriend all day and night but my friends askd me to go to a house party
But i decided to be with my boyfriend instead coz i dont want him thinking i wanna be single and i feel uncomfortable going to house parties when im in a relationship
So i told him about this:
Me - you know.. my friends asked me to go to this house party tonight
Him - oh ok. I wouldn't mind you going, you know that right?
Me - really? But there's a lot of single guys there. a lot of fuckboys.
Him - yeah. But you still go out clubbing sometimes too. there's a lot of single guys and fuckboys too. I never stopped you from going, did I? You can go. I dont mind it. I know you won't do anything. I just have this trust with you. I've never had this type of trust with any of my exes. I always think theyre going to do something dodgy. But with you, its different. I feel like I can trust you to not do anything. I never think "ohh what is she doing? Is she going to cheat?" When you go out clubbing. I dont know why. Maybe coz its your personality. I can trust you.
Me - hmm thats interesting
Is this good thing?
Does this mean he really does trust me or doesn't care at all?
We have been together for over 1 year
Im 22 , he's 27

First off... me and my boyfriend been togeth for over a year
I had a bad previous relationship which ended 3 years ago
But i still have some trust issues
So i dont fully 100% trust my boyfriend
Over the course of our relationship, he has given me his passwords to his devices (phone, computer, etc)
I was checking his phone the other day and he was searching up girls on his fb and instagram (girls that he knows.. from work, from his high school, from primary school)
But he doesn't talk to any girls.. only the ladies at his workplace (he works in nursing home so majority working are old nurses and middle aged nurses but there are few young girls too)
Im not sure why he did this?
But i was quite jealous and got abit mad so i confronted him about it
Our conversation:
Me - so i know you're talking and searching up girls?
Him - yeh i talk to girls from work only and its all work related
Me - why u searching girls up? I saw your fb and instagram
Him - i dont just search girls up. I search guys up too. Wth?
Me - so u wanna be with those girls u searched up?
Him - what u talking about? I cbf talking about this. I did nothing wrong. Think whatever u want babe.
Me - yeah you're searching up and looking at their photos and all that
Him - think whatever you want. Im not doing anything wrong. I know im not doing anything wrong. I know what i do. Im not cheating on you. You even know all my passwords. Stop being insecure. Are u trying to argue with me like u always do? I can't be bothered arguing right now.
Me - and you liking and commenting girls pictures (*im lying about this by the way.. just wanna see reaction*)
Him - um no i dont. I know if i do, you will go psycho on me like u did before. And i had to spend hours to calm you down. Yea dont have time for that shit so not going to do it.
He was talking to me throughout in a calm tone
Wtf?
Does he seem genuine about it?