1. GoDaddy's site doesn't say anything about the MySQL port.
2. WordPress is installed with no problem. One thing that GoDaddy does is randomly assign a MySQL server to newly created databases. So the database server is not the same for ZP as it is for WordPress. Also you must create a new user for each new database, so the user is also different.
3. I would imagine so. When I installed version 1.0.8.2, I used the same database information as I had for 1.1.2.
4. and 5. This is one of the first things I had checked. The WordPress installation does not use a prefix for the database name or database username. I tried with and without a prefix. Neither made a difference.
6. Considering I used the same database information from attempting to install 1.1.2 with 1.0.8.2, I am positive my information is correct. Unless GoDaddy is giving me the wrong host the database is on...
I appreciate your help. I'll be suggesting that my friend gives GoDaddy a call and see what they say. It's like you said, it's interesting that the older version works, but not the newer version. In any case, 1.0.8.2 is working fine.