Yes! that is grammatically correct. I'm not sure if it's factually correct though. :-)

Missing in action is mostly a military term. Sometimes we use it jokingly to talk about someone who was not available when they should have been, but it would never be used to talk about a crime or disappearance. "Her son is missing. They don't know what happened to him." or "One day he just disappeared. He's been missing ever since."

The first sentence is grammatical but Amy is correct that it would be an odd thing to say. But if you really did something wrong that didn't make someone laugh, you could say that. We just don't see why someone would ever say that. :-) The second sentence is not grammatical. Some examples that would make sense to an English speaker would be "It was my fault for not making you happy." or "It was my fault for making you angry" or "It was my fault for making you late to your meeting."

The sentence can mean either but it would be much more obvious in spoken English. If you emphasize 'you' then it's clear that the speaker wants the person they're talking to to tell Jim and not have Oliver tell Jim: Would YOU tell it to Jim instead of Oliver? If the emphasis in spoken conversation is on 'instead' it would mean they they want the person they're speaking with to tell Jim and not to tell Oliver Would you tell it to Jim INSTEAD of Oliver? In written English you'll have to adjust the sentences unless you're certain the context is clear. A simple comma won't really do it. "I'd like you to tell Jim, so Oliver doesn't have to" or "I'd like you to tell Jim. I don't want Oliver to do it." For the other meaning: "I'd like you to tell Jim but not Oliver" or "Don't tell Oliver but please do tell Jim" or simply "Tell Jim, not Oliver"

Domestic has a lot of meanings but basically it means things that pertain to "home" whether literally at a person's home or your home country. A "domestic worker" is a servant who works in someone's home like a maid. "Domestic violence" is when a family member harms another family member. "Domesticated animals" are animals that are not wild or feral but live with people like dogs, cats, cows, pigs, etc. Domestic can also refer to things that happen within a country, the opposite of international. A flight from New York to Los Angles is a domestic flight. A flight from New York to London is an international flight. Domestic affairs are political matters within a country. Indigenous is something that occurs naturally or originally in a given place. In the US we talk about indigenous people meaning Native Americans who were here before the Europeans arrived. Indigenous plants and animals are those that are native to region. Potatoes are indigenous to the Americas. Horses are not indigenous the the Americas.

For the first, it should be "Thanks for your support and kindness during this difficult time" - if you want to emphasize that it's been a difficult time for you personally, then add that at the end "Thanks for your support and kindness during this difficult time for me" For the second remove "have" and just say "I relocated to San Francisco last month" if that is the only point you're making. You could also say "In the past month, I have moved to San Francisco" but this would be used by native speakers mostly to begin a longer thought like "In have relocated to San Francisco in the past month to study English" or "In the past month I have relocated to San Francisco, started a new job, and began studying English"

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Is it possible that "table" is a misspelling of "tablet"? That would make more sense. I have no idea what an Excite Writer is but if you said it's a "tablet with pen support" it would make sense to me. This would mean it's a tablet computer that you can use a pen (or stylus) to write with.