I'm trying to write and correct entries here every day, but it's so late, and I haven't {done theseeither of these tasks | done this} yet today. I'm trying to write and correct entries here every day, but it's so late, and I haven't {done either of these tasks | done this} yet today.

I'm trying to write and correct entries here every day, but it's so late, and I haven't done theseany yet today. I'm trying to write and correct entries here every day, but it's so late, and I haven't done any yet today.

'these' doesn't make much sense here

My fingers feel frozen while typing on themy laptop. My fingers feel frozen while typing on my laptop.

My fingers feel frozen while I'm typing on themy laptop. My fingers feel frozen while I'm typing on my laptop.

And I don't want to turn on my [air conditioner] because last time I used it, my plants didn't like it. And I don't want to turn on my [air conditioner] because last time I used it, my plants didn't like it.

“Air conditioner” still sounds really strange to me, because in the U.S., air conditioners generally blow only cold air, not warm. Could you describe your air conditioner? Maybe I could come up with a better term for it if I knew more about it. In the U.S., we generally have three styles of air conditioner: (1) a “window air conditioner,” which is a machine that sits in the window, blowing cold air inside the room and dripping water outside; (2) a machine that is similar to (1), but it has two parts, one that is attached to the outside of the house and another that’s inside (I remember this style was called a 分離式冷氣機 when I lived in Taipei); and (3) “central air conditioning,” where a large machine sits on the roof of the building or on the ground near the building and connects to a central heating system, enabling it to blow cold air through air ducts connected to all rooms in the building. Is your air conditioner similar to one of these?

It seems that the temperature change {gives them more damage | damages them more | is harder on them} than the cold weather. It seems that the temperature change {gives them more damage | damages them more | is harder on them} than the cold weather.

“Gives them more damage” is understandable but awkward. “Is harder on them” is idiomatic.

It seems that the temperature change givdamages them more damagenow than the cold weather. It seems that the temperature change damages them now than the cold weather.

Damage is not really given. It's better to use the verb 'to damage' here.

It seems that the temperature change givesfluctuations affect them more damage than the cold weather. It seems that the temperature fluctuations affect them more than the cold weather.