Seems you need the tableonly
option, that creates just the table without the file header and package list. For example
asdocx cor Diaper GetupNight PutBabyToSleep PlayWithBaby , ///
save(CorrCaringWork.tex) abb(.) title(\notitle) replace tableonly
Also, in the master file where you call the input(), you should include the following lines to the package list
\usepackage{tabularx, booktabs, threeparttable, caption}
\captionsetup{font=bf, aboveskip=1ex, belowskip=2ex}
\usepackage{multirow}
I shall look into the table title(\i)
, obviously, it is not working.