See enclosed picture of security camera. Is it possible to extend
The wiring about 20feet. I would like to put it in the carport
And the wiring to extend into the toolroom.
Or should I get a wireless security camera?30501

Sure, a pair of #16's should be fine, Wireless allows other households to view as well, I like to use a modulator to convert the video to a channel number, filter out and area to insert and allow viewing all TV's if desired. You could also just connect the video to an unused composite input on TV. I see it also has audio.
Some video amplifliers have multiple outputs with the audio and the video. To go to more than 1 TV if needed.