Problem 1.
The options tab.
Options have been working in the past but not working now.
To add options you do this through the admin area.
To add options. Catalog > Options
To add options to a product Catalog > Product > Insert or Edit > Add Option.
The options where working previously this has stopped working.
Feel free to add a test product and test the options function.
Problem 2.
The cart is not working, some or all of the products are not going into the cart.
The two issue maybe the same problem.