My trip to Algiers wasI did not getting anything results positive out of my trip to Algiers.

I was hoping to spend have fun, to walk around, and to go out alone, but nothing achieved whatwent the way I wanted.

I have been staying home for three monthsspent three months staying at home without see anything outside.

I have only gone out justfor six days ofor treatment.

I have a non-stop headache because of a cervical hernia and Nnot hiking.

I'm not sure what the 'not hiking' bit means

I have endured three months tinside. That is why I decided to face my mother T, to put an end to the farce.P I packed my luggage and requested a reservation to go back to where I came from.

My trip to Algiers was not getting anything results positive results.

I have corrected your sentence grammatically but in English you probably wouldn't use this phrase in this context. You might instead say something like " My trip to Algiers did not go as I had hoped" or just simply "My trip to Algiers was not successful".

I was hoping to spend havetime having fun, to walking around, to go out alone,but nothing achieved w and going out alone. But I did not achieve anything that I wanted to.

I have been stayingstayed at home for three months without seeing anything outside.

I have a non-stop headache because of cervical hernia and Nnot hiking.

I have endured three months that why Iof this and so decided to face my mother T, to put an end to the farce.P I packed my luggage and requested a reservationticket to go back to where I came from.

My trip to Algiers was not getting anything results positiveI was not seeing positive results during my trip to Algiers.

I was hoping to spend havetime having fun, to walking around, to goand going out alone, but nothing achieved what I wanI was unable to achieve that.

"Spend time" is the phrase you would use here, and I also changed the verbs to the -ing form ("having", "walking", and "going").

I have been staying home for three months without seeing anything outside.

I have only gone out justfor six days for treatment.

Just a minor edit! Your sentence is good as it is.

I have a non-stop headache because of the cervical hernia and Nnot hiking.

Just a minor edit! Your sentence is fine as it is.

I have endured this for three months that why. I decided to face my mother T, to put an end to the farce.P I packed my luggage and requested a reservation to go back to where I came from.

I split up your sentences to make them sound a little more natural.