Good work. The shading is pretty severe... more than just the roof and chimney, though. A significant culprit is the TV aerial and mast.
It only casts a small line shadow (an inch wide, plus the grey penumbra, as it's a small object) but this can knock out a whole module from the string.
Each module may have only two banks of cells with bypass diodes. If ANY cell in a bank is severely shaded, the whole bank will be bypassed. So a line shadow going vertically up the length of a module may cause one bank to bypass. The same line crossing diagonally can cause both banks to bypass.
I counted the modules that had definitely both halves shaded and discounted them. I also counted any module with a line shadow or a corner or edge clipped by a shadow as being half bypassed. The counts are:
09:21 = 3.5 active modules (8.5 bypassed)
10:29 = 4 active modules (8 bypassed)
12:15 = 7.5 active modules (4.5 bypassed)
12:54 = 8 active modules (4 bypassed)
With only 4 active modules, the inverter may struggle to start or run.
The TV mast will cause shading events for a large part of the winter and even spring, as it seems to be a very tall one (much higher than the chimney).
Some new modules coming on to the market will have integrated per cell bypass diodes that will make the situation better, eliminating the problem of one or two shaded cells causing a whole bank or module to drop out. Unisolar triple junction thin film modules already have per cell bypass diodes. Trouble is, even with triple junctions, thin film amorphous panels are much bigger than crystalline ones. But with their better tolerance of shading and better diffuse light performance, it may generate more total energy overall.
Micro inverters (one per module) can also help a lot. It doesn't stop the bank shading issues, but as each inverter can work independently and at a low DC Voltage, you would get more like 3-4 modules worth of power in the situations where a central inverter would fail to start or bump along at <5% output because the array is out of the working Voltage range of the inverters MPP tracker.
On my ground array, I struggle with the line shadows from my wifes pot plants, that she insists on decorating the front of the array with. They sometimes get re-arranged to move the tall plants elsewhere (or sometimes they just get a secret pruning when she's not looking

).