Th TVfool database is missing some channels. Also, many channels will be moving on or before August 2, 2019. You will get a PBS when aimed at either Empire State Building or the Freedom Tower. You could consider ignoring WNJU.
If you want real channels 2, 3, and 4; consider the Channelmaster 3018
https://www.channelmaster.com/Digita..._p/cm-3018.htm If you think that the programming on those three channels are not needed, the Winegard HD-7698P would be a good choice.
The LNA 200 preamp that you selected has enough gain to overcome the loss of a three way splitter plus about 100’ of coax, so I wouldn’t buy a distribution amp until I knew I needed one.