Another ditto about the roll taps, they are stronger.
your drill should be about 1.80/1.85mm (0.071/0.073") but check the specs and aim for the upper limit to lessen the power needed.
The only problem I can see is the use of G84, as this is a soft fuzzy type of cycle where the feedrate and spindle RPM are not accurately locked in sync and problems crop up when the spindle is reversed to come out, so you may have to use a floating tap holder and program the feedrate at 95-99% of the pitch ( breakages happen if using the higher RPM's )
Find out if G284 is available on your machine , this is normally the syncronized tapping cycle
Also use the G95 before the cycle, then you can alter the RPM anytime and not have to adjust the feedrates for all tap cycles
ie Code:
G15 H_
G0 X_ Y_
S1000 ( G84 and G284 actually forces the spindle to start at the R-plane )
G56 H_ Z1.
G71 Z0.1
G95 ( unit / rev )
G284 Z-0.2 R0.1 F0.0157 M53 ( F= thread pitch )
X_ Y_
G0 or G80 ( cancels the cycle )
(G80 usually forces the spindle to stop, G0 keeps it going for the next operation)
G94 ( put it back to units / minute )( this is a must )