Is it wrong to try and eradicate rodents or insects from ones home, or mosquitoes and gnats from ones patio?!

No its not wrong, if vegans will eat food at the expense of animals why shouldn't they want to rid their homes of them.

Many animals are killed to plant, harvest, and transport the produce vegans eat. Trillions of insects are killed every year from pesticides sprayed on plants. Millions of animals are killed every year from tractors and combines planting and harvesting produce. Warehouses kill millions of mice and rats every year to keep them from the produce. Countless animals are killed clearing land to plant more produce.

"Rodents or insects or mosquitoes and gnats too suffers and feels the pain just like us, when they are being killed." So, is it good to be practiced my friend...?
Try to use repellents as far as you can and keep your environment clean and organized. And use other techniques that prevent pest attacks, so that no need of doing such a sin as killing living beings....
Thank you.

honestly, if i were being threatened i would defend myself. it doesn't matter what the being was be it human animal, insect. if i were in an area with a high number of insects that could cause me harm or disease i would prevent that, just like i try to keep away from harm from any other being.

Hello

Talk with the animals, animal communication - works wonders, especially with ants if you ask them to leave and direct them to a new home outside.

as a vegan you mean? sure it's fine. kill them all, just don't eat them. Wherever you go you are gunner kill animals ann insects, small molecular organisms.It just cant be helped...

No. Kill them all if that's what you think is necessary to protect you from the diseases they carry. Some will say capture the mice and release them somewhere else. But that's just stupidly irresponsible since they could go to someone else home and infect them.