empathy vrs smpathy

"Empathy is defined as being able to re create another person's perspcetive , to experience the world from another person's point of view." Pg 109
Many people have a hard time showing empathy, rather most people are good at expressing sympathy ina situation. I think I have trouble with both, but i'll give two situation's, and you can teel me which method you thinkI was expressing to the other communicator.
First situation:
My grandpa had a stroke six months ago. Since then, my grandma has had to rely on other'sto help her with task's suck as fixing the furnace. These things my grandpa would normally do, but since he's now ina nursing home, my dad has taken on the responsibility of helping his mother out. However, a every couple week trip turns into a every few day trips when my grandma has a sinus infection. Let me back up. A couple of days ago, my grandma starts calling my dad at 1:30 in the morning about the furnace. Although we know it's working, we think she is just sick. Finally my dad tells her not to turn up the heat because she will forget about it if she runs out for a few minutes. Nevertheless, she turns up the heat, and calls my dad because shes hot and forgot she turned up the heat.She wanted to know if he could come over and take another look at it?
When my dad got home from work, he told me what happened with grandma. I felt empathy for him because she has called me before and Iknow how hard it can be to shut her up, so to speak.

Now that I'man adult, I can smpathize with my parents when they say they have a lot of bills to pay. I have 120.00 worth of bills, and though I know its nothing copared to what my parents pay each month. I still have enoughto help them out finically.