I transferred the web site over to a different computer. Hopefully, it will offer a little better response time than the previous one. This system includes a RAID controller that might speed up data transfer times.
This still does not fix my connectivity issues with my ISP. However, the latest word is that they are looking at different options with regards to current backbone traffic. Hopefully, sometime this week, the issue will be resolved and no more dropped packets or spans of dropped connections will result.
Currently, between the hours of 5 PM and 9 PM, the problems begin to surface.