Your rewritten paragraph is mostly correct, but there is a minor issue with the last sentence. It should be "and victory was claimed" to maintain past tense consistency. The final sentence can actually be rewritten to better fit the past context and keep it active. Here’s a slightly improved version:
"The triumphant tennis player felt proud of himself. He saw all of his efforts pay off in this one match. The fans cheered, the cameras flashed, and he claimed victory."
This version keeps everything in the past tense and maintains clarity. Great job overall!