Isn't the neuter adjective zvláštné? Also, is "mě" pronounced as "mně" in Czech?
It is not, just "zvláštní".
You're right, "mě" is pronounced exactly as "mně".
There are two types of adjectives. Soft (ending "í" in the nominative singular for all genders) and hard (ending ý/á/é in nom. sg. depending on the gender of a noun they develop). Read Tips and notes, there is more about it.