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Could someone explain me what's the function of these two little capacitors connected in parallel to the 1541 outputs? Which sonic differences should one get modifying their value or removeing them?
Also, I'd like to understand why it's suggested to remove C121/124 if a OP-AMP is used in place of the non feedback AD844?
Thank you for any help.

C120/C123 provide low impedance path to the DAC chip output. That because the input impedance of I/V stage has its inductive part. I wouldn't recommend removing these caps, so long as you use common base I/V. Their value is not tightly critical but the cap type is.

If you use a classic opamp I/V these caps have to be removed, because capacitance at inverting opamp input reduces its phase margin, and hence violates its stability.

Also, if you want to use a classic opamp I/V, caps C121/C124, along with I/V resistors R112/R116, have to be moved to the feedback, so between pins 2 and 6. Of course, these caps can not go into feedback of current feedback opamps, so with CFB opamp you should omit them completely.