Hi,
I see that you're using the old add to cart system of HikaShop 2.x.
So first, turn off the "add to cart legacy" setting of the HikaShop configuration to switch to the new add to cart system in Ajax of HikaShop 3.x. That might help.
Otherwise, looking at the MySQL queries log, I can see that the delay happens between the loading of the discounts for the products in the cart and the loading of the auto loaded coupons for the cart:
monosnap.com/file/2hq6lySOqDBUmfPvARyu4FzBFWIbj4
It's highly likely that this comes from a plugin which is triggered with the onAfterCartProductsLoad event.
Also, it's possible that this comes from a connection to a distant server timing out.
For example, when the UPS shipping plugin tries to connect to the UPS server but fails because your hosting kills the request (due to strict firewall rules), the UPS shipping plugin has to wait until the timeout before it can give back the hand to HikaShop telling it that it couldn't get any shipping rate calculated.
I don't think that it comes from that plugin since it doesn't implement that onAfterCartProductsLoad trigger.
But I suspect that you might have a similar issue with another plugin which also requires connecting to something else. Maybe a tax calculation plugin, like Taxcloud, or a custom plugin. I don't know.
You would have to check the different plugins enabled in the groups hikashop, hikashoppayment, hikashopshipping and system of your website. Try to disable them one by one and testing each time to find the culprit.