As a start, and in the absence of any other firm information it maybe worth trying as follows ->
If you can measure the diameter of the screw-fitting hole in your part it should give you a good indication of the screw size as your machine will be 'metric'. The hole will be clearance for the screw, so 0.1 or possibly 0.2mm larger diameter than the screw size.
Recommended metric screws themselves are whole millimetre in diameter down to 3mm, then 2.5 and 2mm diameter. There are two main thread per mm counts, fine and coarse, yours is likely to be coarse, which is the most common. Possible, but unlikely that the manufacturer would have fitted one of the many other diameters/thread-counts available.
Length of screw is altogether another issue, to be tested very gently! If you can 'get access' it can relatively easily be tested with a pin and a piece of card.
Looks like a 'countersunk' head of some form.
Regards,
Phil