"Tiger" can mean someone eager, macho, virile. "Easy, tiger" means "calm down, don't be in a hurry."
Some equivalent colloquial phrases would be: "Easy, cowboy," or "Cool your jets."
"then circle back on foot to the south side, then— Crap" is an interrupted thought, followed by an expression of irritation. She is going to complete the plan, then suddenly she remembers her dinner date. The dash is the place where she suddenly remembers, and stops talking. She's annoyed because she realizes her plan won't work, so she says "Crap." Similar examples:
"I'll take the 9 a.m. train into Philly and--Oh, hell, that's a Sunday, the trains won't be running."
"Ill meet you there, and it sounds pretty formal, so I guess I'll wear--Crap! my suit is at the cleaners."