The provided sentences contain examples of direct speech, but some of them do not follow proper punctuation and format. Here’s an analysis of each option:

a. **Correct** - "She said to the boy, “Show me what you have in your hand.”" The use of a comma after "boy" is correct as it introduces the direct speech.

b. **Incorrect** - “The police ordered: “Stay where you are and don’t touch anything,” The old lady said, “Will you please water these flowers for me.”" The colon after "ordered" should be replaced with a comma, and there should be a period at the end of the first sentence instead of a comma.

c. **Correct** - "She said, “Don’t leave your coat in this chair.”" This is correctly punctuated.

d. **Incorrect** - "She said to him ,” Don’t speak to me like that.”" There should be no space between "him" and the comma, and "Don’t" should be directly after the quotation mark.

e. **Correct** - "Peter said, “Would you mind lending me your dictionary next Monday.”" This sentence is almost correct, but it should have a question mark at the end of the speech since it's a request.

### Summary:
- **Correct: a, c, e (with modification)**
- **Incorrect: b, d**

If you have any more questions or need further clarification, feel free to ask!