I wouldn't be surprised if the cause was text values with embedded line breaks that is causing the columns to get messed up.
Especially since you have min line length of 61 and max line length of over 2000.
You might be able to fix it easily by using the TERMSTR=CRLF option. So if the line breaks inside the vlaues is just either single CR or single LF character and the real end of lines are marked with two character CR+LF combination that will let SAS parse the lines properly. You can try creating a fileref using a FILENAME statement with that option.
filename csv "Y:\Datasets\Restricted\Death\Preliminary\deathfull2019pre.csv"
termstr=crlf
;
proc import
out=y.deathfull2019pre06242019csv replace
datafile= CSV dbms=csv
;
guessingrows=MAX;
getnames=yes;
run;
Otherwise if you have embedded line breaks and they cannot be told apart from the real line breaks you will need to pre-process the file to fix that. For just a few of them in a not too big file just open the file in a text editor and fix it. Otherwise there are ways that you can count either the number of fields per line or check for CR or LF inside of quotes to fix the file.
Update
Yup. You data has at least one embedded line break on line 1386 that is causing trouble when reading line 1387. It does look like the value with the line break does have quotes around it. See the closing quote in column 11 of line 1387.
NOTE: Invalid data for Age_Type in line 1387 28-47.
NOTE: Invalid data for Date_of_Birth___Month in line 1387 55-55.
RULE: ----+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8----
1387 DA19-00512",,,1,20190304,1,2019-01-16T02:06:20Z,0,1,N,N,N,N,Y 61
