I hate mosquito.
{Mosquito} is a countable noun. You can say {a mosquito} or {mosquitos}.
I hate mosquitos.

There are mosquito at swamp.
The same problem mentioned above. Use {mosquitos} here.
And we always say {in swamp}.
There are mosquitos in swamp.

We riddance the mosquito away.
{Riddance} is a noun. You should use a verb here.
We drive the mosquito away.

protest (as a verb) is commonly used with preoposition ‘against’.
I protest against violence.
I protest against child abuse.

I protested I hate mosquito.
What you mean to say here is probably to complain:

I complain about mosquitoes.
I protest against mosquitoes

{Mosquito} is a countable noun. You can say {a mosquito} or {mosquitos}.
Also please keep the tense the same.
I protested that I hated mosquitos.

Mosquito drink blood.
The same problem mentioned before.
Mosquitos drink blood.