Is Factory reset can fix my problem?
A factory restore will likely not help fix your problem, as the error is within the /system folder, and a factory reset only wipes /data.

In Lucky Patcher, you should have an option to revert non-integrated patches of an app from Lucky Patcher > [App] > Open menu of patches > Remove ODEX with changes.

If that doesn't work:
You are going to have to manually reinstall the Play Store, which can be found here.