Deleting Email in Gmail is easy - from your Inbox, just click on the checkbox for each message you want to delete, then select "Move to Trash" from the "More Actions" drop-down (in the upper blue bar next to the "archive" and "report spam" buttons)
To create a filter in Evolution that only picks up messages received after a given date, go to Tools > Filter > Add. Give your rule a name, then in the "If" section, click on the leftmost checkbox and choose Date Received. From the middle checkbox, choose "is after" and from the rightmost check box choose "a time you specify" then pick your date. In the "Then" section, click on the left checkbox and choose "Move to Folder" and in the right checkbox choose whatever folder you want, probably your Inbox That ought to do it
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