My answer would be more concrete if it would only be you...but the fact you have a child makes it way more difficult...
First thing i want to make clear is that all this confussion is made only in your mind if seeing this rationally your partner is clearly stable and for .sure the fact he is busy doesnt has to do with his fellings. I think he is sure about wanting to be with you.Although no matther how many people will assure you about his feelings, it wont make it easier...you have to tell appart your insecurities from the real facts(that he is there for you and wants to be with you).
Because this whole thing isnt just about you and it is about your child too i think you should give it a good thought.
I want you to know that there is always a chance a relationship will not work but i this shouldnt keep you back from having a greaat relationship the fact that your past relatioships did not work doesnt mean that this one wont work too
this situation see ms to be so complicated because of your fear of a fail and it may fail but most possibly because of your fears. So dont let your fears ruin your future.
Finally if you take the decision to follow him you have to be 100% sure about it if you are not then its better to let some things go.But in this case you will always keep on living behind the shadow of your fear and most possibly the story will be repeated in your next relationships as well.
Hope I helped you reply if you want,i would like to know what you decided in the end
