We have solved 3rd and 4th issue. Please have a look into 1st and 2nd issues.

1) Cart ajax issue. In mobile browser instead of ajax it redirects to cart page (ajax will show as well). Occasionally ajax cart failed to show products in cart/ no products message along with CTA. It will show blank occasionally.

2) Here I will explain the issue with an example.
go to https://febiya.com/product-category/home-and-decor/bed-bath/
then click on Towels in the header. The session below loads first then the entire page loads and refreshes.

The way it works should be like
go to https://woodmart.xtemos.com/product-category/furniture/?demo=
click on Accessories in the header, only the session loads, not the page.