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I will have to insist that your temporary directory is wrong beyond any doubt (your images prove it) and you are still not following the instructions I told you to follow to the letter. I assume you missed some of the finer points when going through them, so let's take those instructions step by step (starting with the "Checking your temporary directory" section). I will try to shed some light to the finer points.

""First, we will have to make sure that you are using a valid temporary directory. Many sites are configured to use the system-wide (/tmp) directory or an invalid directory, causing installation problems.""
Take a look at the first picture you sent me. Look under "Temp directory" at the bottom. See what it reads? /tmp. Read the paragraph I quoted above. See what I mean now? You have the system-wide temporary directory = the wrong temporary directory configured. Problem identified. Let's solve it!

""In order to change your site's temporary directory setting you have to follow this procedure:
1. Go to your site's administrator back-end and click Help, System Info from the top menu.
2. Click on the Directory permissions link""

That's your first attached picture.

""3. Scroll down the page and find the first Cache Directory line. It is the fourth from the bottom of the page.
4. Next to the Cache directory label you can see a path, e.g. /home/myuser/public_html/cache""

Let me read it for you: /home/harvardc/public_html/cache/. Note that down.

""5. Replace the cache word with tmp in that path, i.e. /home/myuser/public_html/tmp and note down this path. This is your new temp path.""

In plain English, this means take /home/harvardc/public_html/cache/, replace cache with tmp at the end and you have your new temp-path ==> /home/harvardc/public_html/tmp

""6. Go to Site, Global Configuration menu item from the top menu.
7.Click on the Server link
8. Find the "Path to Temp-folder" and replace its contents with the new temp path from step #5.""
This field is on the top-left of your second image. It currently reads /tmp. Replace it with /home/harvardc/public_html/tmp

""9. Save your Global Configuration""

Once you do that, you may have to follow the rest of the instructions, namely the sections labeled "Enable FTP" and "Manual installation", in this exact order.

I told you, if you follow these instructions very very carefully and to the letter, they do work - unless you have a completely screwed up server. These instructions are the notes I had been using myself for troubleshooting users' sites for years. When I insist that you should follow the instructions I am not trying to be mean, I just know that the solution I'm telling you to follow Just Works(tm) ;)