The videos play with the Flash player because the Flash player [KDP] does not make use of the Nginx VOD module by default. It provides progressive HTTP playback, not HLS. The Flash player is legacy and we do not provide active support for it so I strongly recommend you avoid using it.
As for the delivery_profile table, simply update it so that all records that have nginx.servcast.com in the 'url' and host_name columns will have 162.244.80.111 instead.
So for instance:
url: http://nginx.servcast.com:88/dash
should become:
url: http://162.244.80.111:88/dash
Same for:
http://nginx.servcast.com:88/hls
http://nginx.servcast.com:88/hds