Somebody has probably told you neutering will calm your dog down, stop the jumping, or end the leash lunging. It is a reasonable thing to hope for.
What we can honestly say
Neutering is a veterinary decision, and it is not a training method. We will not promise you that it changes jumping, pulling or barking, because nobody honest can.
What we can say is that the skills your dog is missing are learned skills. They are built by practice, and surgery does not teach them.
What actually helps the behaviour you are seeing
Reward-based training is recommended for behaviour change, and behaviour change is built from management plus reinforcement, regardless of what your vet decides about neutering.
Keep working your dog's Plan whether or not surgery is scheduled. The jumping, the pulling and the barking respond to practice, not to timing.
Do not delay training while you wait for a decision or a surgery date. Adolescence keeps moving either way.
Expect the behaviour work to look the same before and after, since the skills your dog needs do not change with the procedure.
Talk to your vet about timing
Whether and when to neuter depends on your dog's breed, size, health and growth. That decision belongs to your veterinarian, not to a training article.
Bring your specific dog and your specific goals to that conversation. A generic answer, including this one, cannot replace it.
Safety note
If your dog's behaviour changed suddenly after surgery, or over days rather than weeks at any point, book a veterinary examination before you train anything. Sudden behaviour change warrants a veterinary examination. The same applies to a dog who has started growling, snapping or freezing.
Today's version, in one line: keep training your dog's Plan, and ask your vet about timing at your next visit.