To create this kind of shipping setup you can make a series of shipping rules that each charge a flat rate based on the number of products ordered. Here's the basic steps to follow for what you describe:
Go to Seller Admin > View/Edit/Delete Products:
Select an existing shippable product of yours and click Edit;
On the first screen, if Shipping/Buyer's Address is not checked there, tick that box;
Click Next until you reach the Shipping Options screen. The settings here are not required for your particular needs, so leave them blank;
- Weight: n/a
- Package type: any
- Capacity: n/a
Click Next until you can Submit to save settings;
Repeat this for all your tangible goods;
When adding new shippable products, remember to enable Shipping/Buyer's Address.
Go to Seller Admin > Cart Shipping Settings and set up the following:
Shipping Origin: select your country and enter your zipcode (if you're outside the US, just enter any 5-digit number);
Shipping Destinations: if you will only ship to certain countries, select them in the list, or otherwise select nothing for Worldwide shipping;
Leave all other settings blank or 0.00;
Click Next to save settings and proceed to the Shipping Rules screen.
In the Existing Shipping Rules menu, select and Delete any Rules you may have saved there so that they don't interfere with your new ones.
Set up your first Shipping Rule for orders of 1 item:
Shipping Rate Calculator: Flat
Shipping Amount: 2.00
Set Min Item Total to 1 and Max Item Total to 1;
Click Submit to save the Rule.
Repeat these steps to create another shipping rule for two items:
Shipping Rate Calculator: Flat
Shipping Amount: 3.00
Set Min Item Total to 2 and Max Item Total to 2;
Click Submit to save the Rule.
Next, make one last rule for orders of 3 or more:
Shipping Rate Calculator: Flat
Shipping Amount: 5.15
Set Min Item Total to 3 and Max Item Total to 0 (which means no upper limit);
Click Submit to save the Rule.
Click Back to Admin, and you're done!