can only talk through headphones and not mic itself

I recently bought a logitech h111 headset for online games and notice no one could hear me and hours later i found out the headphones are picking up my voice and not the mic like it should ive done everything to try and fix it and even tried using a pair of samsung headphones with built in mic and still have the same problem so it all comes down to it being a issue with my computer .
And yes it is set as my default headset.

There are many different models of the HP Pavilion A10. Exact model is needed.
However, the Logitech H111 headset appears to be one with a "TRRS" type connector, like is used with an iPhone. Most PC's require a "TRS" type connector for either headset OR microphone. Additionally some PC's have separate headphone and microphone jacks, and some have a "combo" type that will work as mic or headphone depending on what is plugged in. Since I can't get the exact model PC you have, I can't determine what the actual configuration is.

It is a Amd a10- 5700 apu with radeon(tm) hd graphics 3.40 ghz
64bit.

So your saying i got a smartphone headset and not a pc headset?

Logitech lists this as a "multi-device" model. For phone, tablet, PC. However, the PC must have the compatible jack or it won't work or work properly.

I still can't find your exact model PC. Is It an "Omnibook 5700 notebook PC" that I find on HP site?

it is not the "Omnibook 5700 notebook PC". it is a desktop computer and all it says pavilion on the front of the computer.

Usually on a Desktop there are separate headset and microphone jacks. Do you have that on the front panel?

A10 is the AMD CPU model(?)

If your plug looks like this picture, you will most likely need an adapter to plug in headset and microphone separately.