1. "I like jogging," he said.

Question

2. "I like jogging," John said.

3. "I like jogging," said he.

4. "I like jogging," said John.

(Which one is correct? Are all correct?) Do you have a rule about that?)

5. "I like jogging.", he said.
6. "Do you like jogging?", he said.
7. "Do you like jogging?" he said.
(What about the three sentences? Whic one is correct?)

Answer 1

All are correct (1-4), but 3 is rarely used.

Among 5-7, only 7 is correct.
5 would be correct if you replace the period after "jogging" with a comma and delete the other comma; 6 would be correct if you remove the comma.

Here's a good website on punctuating dialogue: (Broken Link Removed)