Cockroaches clean up mess that would otherwise build up. They help break stuff down so it can be used as food for plants, which become food for something else. I hate them but they have a role in the food chain. Many creatures feed on Cockroaches- frogs, birds, lizards..
Mosquito lava provide food for fish and water creatures. Without them there would be far less fish in the sea. Mosquitoes are the animal that kills more humans than any other. Some think this would justify eradicating them, but imagine the problems we would have if the planet was even more overpopulated by humans than it already is.
Millions of people worldwide die of infections from these tiny insects, every year.
My Father got a Malaria during WWII & suffered from it for life from then on. He was stationed in Port Moresby.
For work, have had to stay in TPNG & PNG, many times. Was 'religious' about taking my Malaria Tablets six weeks before travel, whilst there, & six weeks after being there. I was determined NOT to get Malaria!
No. It is vital to prottect any plant or animal from extinction as they each have a role on our planet. Nature is delicately ballanced and as humans it is our desire to control it. Unfortunately we unwittingly do so much harm, often out of greed but many times it is out of ignorance.