Eating back calories burned question!

Only if you're no longer in a calorie deficit. As long as you burn more calories than you consume, you should lose weight.

ETA: Calories burned during exercise is never a precise science, so always take whatever a treadmill/eliptical/whathaveyou gives you as a calorie burn with a grain of salt. My general rule was to only log 75% of whatever calories a machine tells me I burned. I'd rather under-estimate than over estimate.

If the "calories burned" is wrongly measured and you inadvertently eat all your exercise plus all your planned deficit, you meet the mathematical requirement to maintain weight. Whether your complex body and stupid scale can team up to indicate 'no change' is an entirely different matter.