Use tFileInputFullRow to read the file by rows, connect it to tJavaRow where you will detect each header and configure context.myOutputFileName which you will use with tFileOutputDelimited. This way you will split each content to specific smaller files which you can then easily process one by one.
Another solution is that you will use tMap with multiple outputs and you will filter output for specific value which might be still context.myOutputFileName, one output will filter:
context.myOutputFileName = CATEGORY: Dist.
another context.myOutputFileName = Statistics: Overall Values
You still need to deal with delimiting/splitting the values in one row by some tJavaRow as soon as you get single field from tMap and need to split it to expected fields by java, but that is easy as well.
Another solution might be reading full file into memory as big string and process it on string level...