life is hard

I've been having problems in my marriage having to do with trust and honesty. My husband has lied to me multiple times, he's been irresponsible asking his mom for money when he had no job just to wait for a good paying one. Now that he has a job He'll lie about how late he's gunna stay at work, how he got stopped by a cop on his way home, how my goat was robbed when he actually died of a snake bite (he made up this whole story about the neighbors trying to steal my goat to eat it) etc. Anyway, I've lost the trust I once had for him I doubt everything he says but since I've forgiven him for lien he says I'm looking for fights when I question him. He moved out Saturday he wants to divorce and here I am crying day and night Bc we have a 10 month old and I never thought I'd be a single mom, I just always thought I was gunna have a happy family. Im not perfect either, sometimes I won't make him lunch for work, sometimes I'm too moody and tired that I don't want to have sex. And this has me thinking that I should tell him about coming back Bc we both need fixing ? But my mom said I need to know how to value myself and my sister says I need to fix our marriage. I'm torn idk what to do. He obviously doesn't care and I wish I knew if he's cheated on me to be done with him for good, he keeps adding girls on Facebook recently and it makes me feel sad. I know a lot of you will say or think to move on but I've spent 4 years of my life with this man and now that we have a daughter he just doesn't care anymore ? Life is hard