Sentence: Bear with me for the mistake

Dear Friend,

“Bear with me for the mistake”, is it correct sentence.

Gerald

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The grammar is correct, but the meaning is not. ‘To bear with’ is to endure something that is continuing in some sense; the mistake, I presume, is in the past.
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Dear Friend,

Kindly check if i wrote a correct sentence and Grammer.

Dear Tom,

This note is to let you know how much i really appreciated your kindness in sending me the parcel last time.It is really a long time since we last spoke and email to each other.I have sent you my music album and the Video and i hope you will like it. Kindly convey my sincere gratitude to your family members.Its wonderful getting to know you…and i hope we will continually exchange correspondence with each other.

I have underlined some problems:

Dear Tom,

This note is to let you know how much i really appreciated your kindness in sending me the parcel last time. It is really a long time since we last spoke and email to each other. I have sent you my music album and the Video and i hope you will like it. Kindly convey my sincere gratitude to your family members. Its wonderful getting to know you and i hope we will continually exchange correspondence with each other.

This note is to let you know how much I really appreciated your kindness in sending me the parcel. It is really a long time since we last spoke and exchange correspondense with to each other. I have sent you my music album and the Music Video and I hope you will like it. Kindly convey my sincere gratitude to your family members. It is wonderful getting to know you .

This note is to let you know how much I really appreciate your kindness in sending me the parcel. It is really a long time since we last spoke or exchanged correspondence. I have sent you my music album and the music video, and I hope you like them. Kindly convey my sincere gratitude to your family. It’s been wonderful getting to know you.

Dear Mister,
Thank you very much.I really appreciate your help.
nick