The 1N4148 is definitely NOT the diode for that job.
The peak current will be the motor peak current, so if the motor draws 1A, the peak current through the diode will be 1A. You need a diode that can handle peak currents well in excess of 1A.
Don't rely on those surge parameters. They generally assume that the initial junction temperature is 25°C and at the end of the surge it reaches the maximum specified junction temperature (150-175°C). So those ratings are for one-time occurrences, with enough time for the diode to cool down. Another surge like that with the junction at say 50°C and the diode may not survive.
Then there is the power dissipation issue. Assume the current through the diode is 1A 50% of the time, so the average is 0.5A (this is like your average rectified current; you should calculate it for worst-case).
Multiply that by the voltage drop at 1A and you get the diode conduction losses. To that you should add switching losses. If the diodes are ultrafast, you can neglect these losses in a first approximation.
Check the maximum junction temperature of the diode at the maximum intended ambient and see if it's reasonable. By reasonable I mean 100~110°C. Remember, this has to be at the maximum intended ambient.
Since you neglected the switching losses, make sure the junction temperature is actually less than 100°C, so you can accommodate the extra losses.