Yep they’ll be no problem at all. Won’t be at their best until they’ve warmed up a bit but it’s within their operating range. Below 5C is where they really tail off IIRC.
As above, you’ll be fine. Don’t forget that you will build heat in the tyre as you lap. Also, PSC2 is at the more ‘road’ end of the track tyre spectrum, so less likely to cause issues than others.
If you struggle for grip you might want to consider running lower tyre pressures.
