I'm having trust issues, Should I be worried?

My boyfriend and I have been together for over a year and its been rocky. I tried to earn his trust by giving him my passwords to things such as facebook and taking the password off my cell phone. I would like him to be comfortable and not have to worry. I know he has trust issues but I do to. Recently he got a new iphone. He gave his old one to his son. We notice everything from his new one including fb messages are still going to his old one to. I've told him in the past i've glanced at it ( I know its my trust issues and I shouldn't) I came home from work one day and decided to look at the phone. He has seemed off… And kinda down lately and I thought maybe I'd find something. It turned out he signed out of everything and changed his phone so it wouldn't receive any messages etc. I don't know if i'm being over reacting or I should have something to worry about. He always has his phone, goes out for a smoke and is on it instantly. He never lets me look at it or answer it even if hes in the shower etc The few times he had let me look, hes already deleted things, such as conversations with his ex wife that he had a kid with. I only know because they claim to not be able to stand each other and refuse to talk on the phone. So I guess i'm wondering if i'm just being paranoid or if there's something I should worry about.

Any advice is appreciated. No harsh comments please. Thanks in advance!

Added (1). Sorry amy it did help, I tried to give it a thumbs up and it didn't work, clicked the wrong one.

ps were trying to work through our issues and start couples counselling in a couple days.

Well men are like that when they do have something to hide. He probably still fu cks his baby mama

Well, it seems like you both should sit down and talk about the matter. You mentioned you have trust issues, and so does your boyfriend. In my opinion i think your boyfriend seems too want privacy, but that is not fair because you basically gave him all your privacy.therefore don't worry over the matter it might just be his trust issues, but you should try to state your preoccupation on the situation. If you do confront him try to do it nicely, and even give him advice on the matter.