You're lucky because the numbers in your file names are in just the order touch -t needs.
This command in the terminal will work. You just need to make sure your working directory is set to the folder you want to do:
for f in *; do
t=$(echo $f | sed -E 's/([A-z]*-)|([ ,;])|(\..*)//g' | sed -E 's/(.*)(..)/\1.\2/')
touch -t $t "$f"
done
To break it down:
for f in * sets the variable f to the name of each file in the directory, in turn.
do puts everything until the done into the for loop.
t=$(…) sets the variable t to the output of the commands in the parentheses.
The first sed command matches any letters before a - symbol, the - ; and the space symbols, and the file extension, and deletes them.
The second sed command inserts a period between the mm and ss values, as touch requires.
touch -t $t $f changes the file modification and creation times to the value of t on the file f.
Tested on some dummy files with whatever version of sed ships with Mavericks.