Yes I do think it is normal for your lo to take a while to fall asleep. You can always try and intervene and do some pat/shhh to help your lo fall asleep.
At two weeks, I always fed my lo when she woke, that way she did not get OT in the middle of the night and battle to fall alseep.
If your lo is fussy, and not falling asleep, you and pick your lo up and do pat/shh with your lo over your shoulder to help calm down, and then when baby has calmed down you an try and put down in the cot again, and carry on with Pat / Shhh