Yes,,,running 6" coil will help.
Also,,you can put a small block of disc in right lower corner,,just a tad,,this will,help you some,,,and not hurt performance very much.
You can usually run 6" coil a little hotter sens wise and can get away with it vs stock coil.
Depth wise,,,you may have seen the Sears button I posted,,found it with CTX,,sens at manual 24,, combined mode,,,7" deep,,6" coil.
It was very close to max depth detectable,,detector was starting to thunk a bit,,ID was 12-38 on button,,,had a ferrous back,,,tone was dismal,,but repeatable,,with good I'd,,with a horrible trace,,,only reason I dug,,,is Imlifted my coil and signal went away,,,pinpointing show a target about the size of 12" pizza lol,,,too many nails and other junk around it I guess.
Auto sens will work with 6" coil,,,but can be depth limited moreso.
6" coil on CTX is nothing to sneeze at performance wise,,,better on mid and higher conductors though IMO.
Sometimes when a person starts running a new detector,,they are afraid they will miss a find,,,hence they try and read into iron falsing as good target.
Determining iron falses using combined mode,,,does signal repeat with keeping sweep speed controlled and same or similar.
Too fast a sweep speed can cause iron false too,,where as if you slow down sweep iron may tone in low tone using combined mode.
What does the screen look like,,,any blue down in the bottom right?? This CAN be a good indication to trust,,NOT always though.
What kind of tone are you getting around high tone,,any low tones rolling in,,,especially on both sides of high tone false-- good indicator usually of false.
False can read usually 38 and higher conductive on screen sometimes.
Pinpointing can help,,but can lure you to walk,,hence you leave a find in the ground. Seen this in person,,video here was posted. One thing a person can do,,is pinpoint a nail actually,,and they swing over it,,,and see the detector giving detection off of this nail (a few inches like a couple or 3),,,they instantly start thinking nail hit,,and walk,,,leaving a find in the ground.
Practice,,,and digging a few nails,,,folks will start to see things,,they can use to rule on falsing or not.
Watch this video,,,there is a lesson to be learned with CTX.
Where I find the Jack,,,remember the jacks we played with as kids.
I never saw a rusty one when I was a kid,,so nonferrous.
Watch this gent pinpoint,,,and listen to what he says.
I think,,this particular scenario,,he never did get the Jack while undisturbed (signal wise),,instead got a false off of one of the nails,,,hence he based his pinpoint off of this,,,and likely would have walked.
I would like to go back to this site btw,,,this video,,it was windier as all get out,,,even wearing headphones some ambient noise protruding.
https://m.youtube.com/watch?feature=youtu.be&v=UldjNYs_3Vw