Sentence 1: Jim's hands were sweating as he was walking to her front door. 
 Sentence 3: Jayme answered the door and walked to his car with him 
 Sentence 4:  They had a nice dinner at a diner and saw a show afterward 
 Sentence 5:  Both of them had a great time and agreed upon another date 
 Option 1: He had liked Jayme for so long, he was so happy to take her out. 
 Option 2: He had liked Brenda for so long, he was so happy to take her out.