Can I trust my wife who talks to a 'honey'-calling womanizer?

Dear LG, Please don't disclose my name. I don't want to share my personal problems with others. I am 45 years old, married 13 years ago; my wife's age is now 38 years. I got two kids. My wife is pretty (she takes lot of care for her beauty) and I want to live simple. I kept faith on my wife so I didn't interfere in her life. From last four years, I am staying away from family (because of work I have shifted to other city, monthly once I go back , purchase everything, give money for expense and return to job). She keeps her mobile with security. Once, by mistake, I read her WhatsApp message. One of her office client was praising her pics and she was responding to him. So I told her, be official, don't entertain, if they fall behind you and we may face problem. She agreed but is doing the same thing and deleting his messages. Then I wanted to see what all things she does in WhatsApp. So her link I shared in my mobile and started reading her messages. She use to chat with one married person from last three years, she changed his name in her mobile and kept his wife's name. Three years back he proposed her with love song. My wife used to support him, sometimes she used to delete the messages. He knows all my family history. Whenever they get time, they used to talk each other in phone. Some messages I read, they were planning to meet also. She always come home very late, I didn't question her because I kept faith, but as I told you I have two kids in home. If she comes late, they are facing a problem (they stay alone until she comes back). Simultaneously she is chatting with another married friend. She says he is like a brother in front of me, but that person says baby, darling, dear, love, etc, in his conversation and forwarded some love songs and calling her for long drive. My wife replied some other day we will go. He replies, You always says same thing. I will become old one day. Then I was surprised and guided my wife indirectly. I told, don't entertain any person they may start to trouble you or if anybody troubling you please tell I will help you. We got two kids so we got lot of responsibility. She got a clue that I am reading her messages, so immediately she deleted all messages and after some days she deleted their numbers, along with that she deleted some other numbers also!  Why, I don't know. Once I told my son, beware, I can track you and tell where are you going and what are you doing. But from that day onwards, my wife is blocking her internet at 6 pm (when her office closes) and unblocking when she returns home. I am worried regarding this behaviour. I have stopped reading her messages now. But now I am feeling very uncomfortable because her behaviour is very soft with me, (previously she was very aggressive, she used to fight with me unnecessarily.) Please guide me how to handle the situation. What can I do now? Sometimes I feel I should leave everything go somewhere or is it a punishment for marrying a pretty girl? What to do? Please guide how handle the situation. Regards.

Me and my wife are happily married for 10 years and having a twins 4 years before. This incident happened 8 years ago, when my wife and her cousin visited the home town for a temple function they reconnected with this guy who is their old friend ( a distinct relative also), this person had an interest on my wife before marriage and my wife rejected. Now this person is married and having one kid. when they reconnected my wife's cousin used to do conference calls along with this person and my wife. My wife asked me is it ok to talk. i said yes it is fine but just maintain a boundary. So she wont attend all the calls from them. Attended some conference calls for 5 to 15 min and drop the call saying my husband don't like me in phone too much. this happens weekly once or twice for 2 month. they also had a watsapp group, in that they had friendly chat between them, mostly between wife's cousin and that person. My wife reply was very less. but when i was going through the messages they are not flirty messages, there i saw my wife saying very positive about our relationship and her cousin also agreed to that saying they are the best couples. but that person has addressed my wife's cousin and my wife occasionally as honey and dear. but both of them ignored and not asked them to stop calling like that. when i checked this with my wife she said that person calls everyone as honey/dear even her sisters and other cousin.it is habitual for him so she found no meaning in that and she is not bothered to correct that. thats why she ignored. i asked her to stop talking to him. My wife told she already stopped talking with him as he tried to make personal calls as she did not like it. that time the wats group also not active so she exited from the group and blocked his number. Recently we came to know that one of the relative girl got into affair with this person and this person got divorced due to that 1. Does words like honey can be used in friendly way. i have many freinds in other gender i never used honey even though i used 'dear' occassionaly. As he used this word with my wife, Does this make my wife less pure than other women's. is this cheating ? 2. I cant come in to terms with the fact my wife talked to a person who is a womanizer. does this affect my wife's reputation in the society. they never met in person other than this temple function reconnect.