Here's a simple solution.
Read-in the file as a .txt file:
Edit 1: 
As the data contains the hashtag # in some cells, you need to include the argument comment.char="" so that R will display the data following it (it will however still treat it as the onset of a comment):
df <- read.table("[Your path]/Sample.txt", 
                   header = T, fill = T, quote="", sep="\t", comment.char="")
As others, I find your column headers very unpractical and have taken the liberty to change them to the first eleven letters of the alphabet (merely for visual reasons; you will have reasons to retain your headers):
colnames(df) <- LETTERS[1:11]
df
                                    A     B    C       D     E     F           G       H     I      J    K
1       Adams County, Nebraska(6,10)  31001 ***    62.1  51.4  74.6          25  stable  -5.2  -32.3  32.8
2   Adams County, North Dakota(6,10)  38001 ***       *      *    *  3 or fewer       *     *      *     *
3 Aiken County, South Carolina(6,10)  45003 ***    55.9  51.5  60.6         124  stable  -2.3   -8.8   4.6
4        Aitkin County, Minnesota(6)  27001  ***      ¶     ¶     ¶           ¶       ¶     ¶      ¶     ¶
5   Albemarle County, Virginia(6,10)  51003 ***    49.4  44.1  55.3          64  stable  -2.9  -18.1  15.2
6      Alcona County, Michigan(6,10)  26001 ***  66.1 #  51.2  86.7          17  stable  -3.6  -26.5  26.3
The desired transformations can be done in many ways; one simple way is this (transforms the two columns separately):
df[,4] <- gsub("\\*|¶", NA, df[,4])
df[,9] <- gsub("\\*|¶", NA, df[,9])
A slightly more complex but more economical way is this (transforms the two columns in one go):
df[,c(4,9)] <- lapply(df[,c(4,9)], function(x) gsub("\\*|¶", NA, x))
Edit 2:
If you want to get rid of the hashtag in the data, this will do it for column D:
df[,4] <- gsub(" #", "", df[,4])
If you want to get rid of # in a range of columns, subset dfon that range and use lapply:
df[,c([range])] <- lapply(df[,c([range])], function(x) gsub(" #", "", x))
The output is this:
df
                                    A     B    C     D     E     F           G       H     I      J    K
1       Adams County, Nebraska(6,10)  31001 ***  62.1  51.4  74.6          25  stable  -5.2  -32.3  32.8
2   Adams County, North Dakota(6,10)  38001 ***   <NA>     *    *  3 or fewer       *   <NA>     *     *
3 Aiken County, South Carolina(6,10)  45003 ***  55.9  51.5  60.6         124  stable  -2.3   -8.8   4.6
4        Aitkin County, Minnesota(6)  27001  ***  <NA>    ¶     ¶           ¶       ¶   <NA>     ¶     ¶
5   Albemarle County, Virginia(6,10)  51003 ***  49.4  44.1  55.3          64  stable  -2.9  -18.1  15.2
6      Alcona County, Michigan(6,10)  26001 ***  66.1  51.2  86.7          17  stable  -3.6  -26.5  26.3