According to the site in the related links below, yes they can be fed basil and probably mint.
No, both of them are different basil leaves are known as 'Tulsi' in Hindi and Mint leaves are known as "Pudina" in Hindi .
degu's are known for eating cabbage,peas,basil,mint leafs,carrots,many different varieties of vegetables
Parsley or Basil
Can rats eat silkworm
people that are aligerick to basil
they eat rats and rodents
Grass rats eat grass.
Yes, hawks eat rats.
Herbs
Yes, basil is kosher.
Rats can eat jelly in small amounts. Rats are typically scavengers and will eat just about anything they can get their hands on.
mice and rats eat cheese