Will a divorced woman lose her ex's pension or other benefits if she remarries?

Depends on the divorce decree. However, the pension, etc. should have been awarded as her sole and separate property and normally would not disappear when she gets married. But like I said, it depends on the decree.

Depends on how the Final Judgment is worded. In most circumstances, if the award is alimony and there is a new marriage then she usually loses. If the assets are property distribution, she retains.

Probably not but the terms depend upon the content of the orders entered related to the divorce. I suggest hiring a lawyer.

In Utah, a spouse (man or woman) usually retains his/her marital interest in that portion of his/her spouse's pension and other retirement benefits accrued or acquired during the marriage. Other aspects of pension and other retirement benefits rights are modified or lost in the course of divorce, but usually a spouse will retain and be awarded (in one form or another) 50% of his/her spouse's pension and other retirement benefits in divorce.