'Business Object' (add a new 'class' with a custom stereotype 'Business Object')

'Business Process' - look into the "BPMN 2.0" toolbox

'Usage' between a 'business object' and a 'business process' - look under "UML - Class" toolbox.

'Business Role' as 'Partner role' - look into the BPMN 2.0 toolbox

For default connections between components / subsystems (for example between a Business Process and a Business Role), use either one:
'Connector' - look under "UML - Composite" toolbox
'Associate' - look under "UML - Class" toolbox

For 'Realize' connection, look under "UML - Class" toolbox.

'Subsystem' - look under "Basic UML 2 tech" toolbox.

'Server' - look under "Web Modeling".

For business service, look under "Basic UML 2 Technology", choose 'Service' and change the Stereotype to custom-defined 'Business Service'.

For Appicantion Component, use a Packaging Component (in a UML - Component Toolbox).
A Packaging Component is an element that appears very similar to a Component in a diagram but behaves as a Package in the Project Browser (that is, it can be version controlled and can contain other Packages and elements).
http://www.sparxsystems.com/enterprise_architect_user_guide/8.0/modeling_languages/packagingcomponent.html
In your project, you don't have to model a functional subsystem in more detail, thus you don't need to use a Package Component, you could use a Component as well.
For Application Function, you can use a Component.
For Data Object, use an Object (in a UML - Component Toolbox).

Technology items are accessible from under UML - Deployment Toolbox.