Until now you only taped up the fuel vapor line. did you do anything else?
If not it does not surprise me it is doing it again. It woud have been extremely weird because that pipe should not influence starting..or general running.
I also have problems starting my car in the morning, i first thought it was the fuel pump.. because it starts fine when the gas tank is full ( or close to).. but starts misbehaving when it drops under half a tank.
A few days ago i temporarily replaced my fuel pump with one from a friend ( without starting problems) but it still didn't start right.
I also replaced the map sensor, same bad start.
Long story short.. does it start ok, if you have a full tank of fuel ?