What is a 0.1M cap? Is it 0.1uF, if it is so, they will fit?
Actually those 0.1uF caps, for 7812, are just for filtering high frequency noise, from the 7812 itself and the large electrolytic capacitor.
For 741, the capacitor has to be in parallel with the pin, not series. For example, one lead in pin 7 another in GND.
I don't feel confortable with that 1A fuse before the 7812, why not add a fuse in the primary of the transformer, instead?
7812 will output 12W maximum, so add a 0.08A ~ 0.1A fuse for 250V. (If the outlet is 220V).