Removing last blank line
Try ${/^$/d;}
this will only match an empty line if it is the last line of the file.
Update: for your second question, just remove the 1 before the s, i.e.: sed -i 's/^[^0-9]*//' combined.csv
Found this ages ago somewhere and saved the snippet. Do not ask me how it works:
perl -i -pe "chomp if eof" combined.csv