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Looks like what you're asking is basic Rules stuff... if you don't know how to use Rules I suggest you find a tutorial about this module first.
Regarding your current problem, the "After a webform has been submitted" event should provide you with a variable called "webform" that you can use in your conditions. You should be able to select this "webform" variable in the "webform has name" condition. If not, maybe you need to switch to data selection instead of manual entry. You probably don't know what I'm talking about right now so I'll try to explain a little bit more: when Rules ask you for "The form id of the submitted form" for example, you should be able to select some variables in a drop down. If you're just facing an empty text field for manual entry, there's a link below the field that allows you to switch to data selection