When I add a new product, the default status is draft. and in the dropdown menu I can only select draft or pending (as you can see on the image 01.jpg). And if I want to publish the priduct, I can only do it on the product list via quick edit (as you can see on the image 02.jpg). I would like to be able to publish the product immediately. Is it possible?
Check your account which you sent to me. It doesn't have any problem. So, your main account has wrong capabilities (because you used plugins early which changes them) You can create new admin account. Logged in under new account and delete old admin account (or keep both)