I try very hard to not carry the baggage from my marriage into this relationship but once in awhile it happens. I sometimes forget that it isn't all weeds this time around.
I truly believe that we NEED to be in another relationship to work thru the baggage of our past relationships. Each relationship has it's own baggage. We can (and most likely do) cart them around. The secret it to feel respected, loved, safe enough in the new relationship to do the work of opening the baggage and tossing what doesn't work anymore and to tweak things so they do work in this new relationship.
Some habits from old relationships are going to be a hinderance to a new relationship. Example everytime my X went out of town alone he cheated. My (now X) SO going out of town was a trigger (of sorts) for me... we sat and talked about it Before he left. He did what he could during his time away to help keep my anxiety to a minimum. And I did my best NOT to project my angst at my XH onto him. By the 3rd time he was away... I was fine. But it took him and I working thru my baggage together to get past it and encourage a healthier way to handle things. LIke you said - a team.