OP
FB.
He said that the garage and two of the panels from the roof are on one string, and the other eight are on the other.
Ah, the problem with long threads is that it's easy to miss something.
8+8 is not satisfactory.
A string of panels is only as effective as its worst link.
The two on the roof will be hindered in the mornings by the lack of power flow through those on the garage, while those on the garage will be hindered in the afternoon by the lack of power flow through those on the roof.
Even if it does work, the bypass diodes will have to be active for considerable amounts of time during the day on bright days, in order to allow the power to bypass the "virtually shaded" cells caused by different sun aspects. It may result in premature failure of those diodes.