Adam W.
A Major Clanger
You're right. It's normal for the wall plate to be softwood, but generally green oak is easier to source than large scots pine sections.I think that the existing timbers look like softwood - arguably oak would be overkill (although it won't need treating and looks beautiful). Interesting that the rafters look as if they're pairs of 4 X 2. You haven't told us what the existing timbers are - it does have some bearing (pun intended!).
The crucial dimension for this wall plate (which also serves as two lintels by the looks of it) is the vertical height - resistance to vertical deflection under the weight of the roof - esp. in the centre of the doorway - is the key issue. Any horizontal width >= 100mm would be fine, subject to it being properly anchored to the walls.
If you do go for a larger overall section, you can always split it - on the vertical axis - into two pieces bolted/nailed together to make handling/lifting easier (and possibly reduce the timber cost into the bargain).
That's why I suggested oak first. I may have got the dimensions mixed up, but I still recommend replacing like for like, whatever it is.