smart client vs fat client question

About smart clients:

1)      Rich user interface

2)      Responsive

3)      Offline capabilities

4)      Easy to update

5)      Easy to deploy

6)      Easy to manage

I have now an application for PDA,

it registers information to the local database and synchronise these data via web services to a remote database.

question1:
Do I have a smart client or a fat client I would say a smart client because it operates local and exchange information with remote systems

thus: 1) ok
        2)ok
        3)ok
        4)easy to update what makes it easier to update then fat clients
        5)no experience yet, indeed easy with VS for testing purposes
        6) what do they mean

question2:
About 4) Is an example of this for example the auto-updates of windows
         Is it hard to make something like this

question3:
This makes I can deploy software to clients. Make changes to code and distribute these changes as updates Yes/no && easy to get this behaviour

question4:

about easy to deploy/manage: what are the differences in comparance with fat clients
About smart clients:

1) Rich user interface

2) Responsive

3) Offline capabilities

4) Easy to update

5) Easy to deploy

6) Easy to manage

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