The hotel I livedam living in for this training (course) is on the hill sideside of a hill. The hotel I am living in for this training (course) is on the side of a hill.

I am assuming you are still in the hotel in order to attend while the training course. So you need to say living, not lived.

The hotel I livedam living in for thismy training is on the hill sideside of a hill. The hotel I am living in for my training is on the side of a hill.

Since we were going down the hills and there were only a few street lamps on our way, we had to be very careful with our feettread cautiously. Since we were going downhill and there were only a few street lamps on our way, we had to tread cautiously.

Downhill sounds more natural. While saying 'we had to be very careful with our feet' isn't wrong, it sounds strange. I have suggested tread cautiously instead.

Since we were going down the hills, and there were only a few street lamps on our way, we had to be very careful with our feetof how we walked. Since we were going downhill, and there were only a few street lamps, we had to be very careful of how we walked.

After a couple of minutes, we came downto the bottom of the hill, where there was a large area of flat and broadened land with tidy treesrees planted in an orderly fashion in several rows, and some women were dancing there. After a couple of minutes, we came to the bottom of the hill, where there was a large area of flat and broad land with trees planted in an orderly fashion in several rows, and some women were dancing there.

I am not sure what you are trying to say when you refer to 'tidy trees'. I think you mean that they have been planted in an orderly fashion, not that the trees themselves are tidy

After a couple of minutes, we came down the hill, where there was a large area of flat and broadenedopen land with tidyneatly planted trees in several rows, and. There were some women were dancing there. After a couple of minutes, we came down the hill where there was a large area of flat and open land with neatly planted trees in several rows. There were some women were dancing there.

I made this two sentences so that it is easier to read. I took "tidy trees" to mean that they were planted neatly.

I wanted to exercise more, so I left them and hikedwalked more quickly. I wanted to exercise more, so I left them and walked more quickly.

After turning a round, I began to go back. After turning around, I began to go back.

After a while, I turninged a round, and I began to go back. After a while, I turned around and I began to go back.

Because the return trip was up a hill, we had to climb the steps. Because the return trip was up a hill, we had to climb steps.

Because the return trip was up a hill, we had to climb the steps. Because the return trip was up a hill, we had to climb steps.