Permissions Armaggedon, Evernote Crashes, Back-up Disasters, and Passwords Required To Empty The Trash

Question

I just bought a new Macbook Pro with OSX Lion 10.7.2.  I had a 2009 Macbook and I migrated all the information from that notebook to my new one.  I used a G-Drive External Hard Drive, and the migration seemed to have worked perfectly. 
At first everything worked like a mac - perfectly.
The next day there were several problems.  The only thing I think happened in between the following problems and the flawless functioning was a software update.  I've attached screen shots of everything I could.
Here are the problems:
1. Permissions Armageddon
Every time i try to modify one of the documents that I migrated from the other macbook, it tells me another application changed the file, and if I would like to save my changes anyway.
I click "Save Anyway", but then it says I don't have permission to alter the document.  I've repaired permissions on my mac several times to no avail. 
I can fix this for each doc using the following sequence:
Open Doc in Finder -> Command I (Get Info) -> Sharing & Permissions -> change all the users to "Read & Write"
The problem is this takes about a minute for each doc, and it seems like there has to be a workaround.  I've also tried selecting an entire file and applying permissions to the enclosed documents.  This never does anything.
I want to be able to open a doc and edit it without needing to change permissions every time.
I don't know how to use Terminal and I'm afraid I'll mess up my computer if i try something.
2. Back-Up Disasters
I turned on Time Machine and every time it backs up it says its backing up the entire contents of my mac.  Shouldn't it just back up the new changes? 
3. Passwords Required To Empty The Trash & Add Items To The Trash
Every time I add a document, application, or file of any kind to the trash, I'm asked for my password.  Has anyone else experienced and/or resolved this issue?
I've heard others say this is simply an extra security feature, but I wanted to make sure.  If anyone from Apple sees this - please remove this redundant and unecessary feature that wastes so much time.
4. Evernote Crashes Upon Launch
Evernote crashes every time i open the application.  Any idea whats causing this?  Iv'e tried moving it to the trash, deleting it, and re-installing it with no luck.
Thanks for your help Apple Community!

Answer 1

The reason why some of the files are blocking the trash from emptying is because of specific ".app" files from third party companies like Adobe products. Not the user files or the various help documents but instead the actual mother program. Here's how to fix this problem:
1) remove from the trash all the actual software programs like Photoshop, InDesign, DreamWeaver and so on and put them on the desktop.
2) Command "I" (info) and when the dialog box opens go to the "Name & Extension" text box and remove the ".app" from the software name. Example: Photoshop.app change to Photoshop.
3) the program icon will change to a "folder icon".
4) put the folder icon back into the trash and you should be able to now empty the trash.
If you continue to get the error code 8003 it's because you may still have one or more software programs in the trash that needs to go through this process. Remember - it's not the user files or help documents or supporting files that is causing this but instead the "actual product programs".
JKai