It would have been better if you had posted the esc name and the number of turns the motor has.
anyways, you've got either a shorted winding and/or dirty/burned comm segments in the motor. you may have loose or damaged cappacitors on the motor. There may be an issue with your connectors/battery. when accelerating, low turn mod motors will bring the voltage down too low for the electronics to function IF you have poor batteries and connectors.
the esc doesn't sound like its causing the problem. if the motor was too much for it it will thermal (if equiped with a thermal shut-off which takes a while to reset) or it will burn up. it may still burn up if it is infact for stock, time will tell.
Current active RC's; Brushless Xray XB8, CRC Pro10, Tamiya M03, Xray M18, Losi Micro-T. Inactive list; Losi XXX-S, Duratrax Evader st, Traxxas TRX-1, Traxxas E-maxx, Brushless Ofna 9.5, Corally sp12m