People find it very difficult to separate what matters from what doesn't .... 99% of that which you have posted ... unimportant.
What matters is this:
* He stated he cheated due to arguments and disputes and him not feeling listened to
If you are absolutely 100% honest with yourself, do you see any truth in that?
* .... even bring our 1 year old daughter to meet her
Your missive does not begin "I am deeply worried for my 1 yr old daughter and myself"
... That is because your child is not the first thing on your mind and it should be.
* Anyway I begged for him back as I couldn’t live without him
Not true is it ... just you being hysterical
* Low self esteem?
That would be yourself that I can see ... He is a man-boy, just doing whatever he can get away with it appears ... Though of course we have only your version of the events and not his .... However in adult relationships, EVERYTHING is 50/50.
Both sides are always to blame, but always.
My own first concern is that it appears your 1 yr old child is neither his first concern nor your own ... Which you need to rectify
... Your rubbish relationship is not the fault of the child, so both of you need to do the best for the child.
In my world, if it were myself and if what you have written is even partially true, then I would get a lawyer and get a divorce. Then focus on looking after the child properly and get her the best education possible. The child needs stability, no matter how that stability is arrived at and needs education even at the age of 1yr old that should have started.
It is a fact of the western world that the children of poor socio economic group parents, by the age of 3, are so far behind their middle and upper group equivalents in social and basic educational skills ...... that they will never catch up. By age 3 they are already destined to a life of poverty and tawdry mediocrity .
Focus on your child, she didn't ask to be born ... So she deserves your best attentions .... Rather than you attention being much focussed on her father whom you should have been divorcing from day one
of his infidelity.