Based on what you typed, hasn't reach to the must divorced stage. If it's jus quarrelling, I believed many married couple quarrel, some men even cheat on the Wife n get forgiven. I'm not saying u must forgive ur Husband if he really cheats. Anw men can have sex outside n at home without feelin any guilt. But ur situation sounds like there's still hope n solution. He might be annoyed too knowing that u check all his messages.
Tell him that it's ok if he hang out w his friends or whatsoever as Long as its not every night or too frequent because each parent should share responsibility for the child too. Maybe he's afraid to tell u, hence he has to lie?
Can u plan a day out on his off day so that he knows what to do?
Alternatively, go for marriage Counselling.
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