How the heck do I parkour?

So I've been playing Wynncraft for like 2 weeks now and find I consistently am way behind others when doing parkour in dungeons. For example, the people I just did Sand-Swept Tomb with kindly didn't make fun of me (at least not where I could see) when they kicked me from the party because I was still stuck on the parkour section after they defeated the final boss, and then they lapped me. Twice.

I have no idea what I'm doing wrong. In the simplest of terms, pretend I'm 8 and explain to me how to do parkour please. I'm confident there's something I'm missing and it's something simple, because I'm consistently and substantially slower than everyone else.

Here's some sticking points I think might be contributing:

• I have no substantial walk speed boost, just normal walk speed
• I am a Shaman that can use Haul, but no other movement spells
• I hold sprint before and during a jump usually
• I use normal first person view, not F5 third person view

EDIT: I only posted this like an hour ago and you guys have already been very helpful. Well, at least very kind (I'm going to bed and won't be trying out any of the advice until tomorrow). I'm used to the reddit community for Old School RuneScape and they're usually jerks. So thank you!