This is first time iI have used this website. This is first time I have used this website.

This is first time iI have used this website. This is first time I have used this website.

"I" is always a capital letter. Perfect tense.

This is first time iI've used this website. This is first time I've used this website.

This is the first time i useI am using this website. This is the first time I am using this website.

"I" is always capitalized.

This is first time i useI'm using this website. This is first time I'm using this website.

This year, iI will start using English tofor my work more, but i usuallyI struggle with my listening and writing skills. This year, I will start using English for my work more, but I struggle with my listening and writing skills.

This year, iI started using English to my work more, but iI usually struggle with my listening and writing skills. This year, I started using English to my work more, but I usually struggle with my listening and writing skills.

Capital "I" needed. If "This year" is the past year "started" if the to come year "am starting". Two skills listening and writing. Don't need "my" but to me it sounds better.

This year, iI've started using English ato my work/in my job more, but iI usually struggle with listening and writing skills. This year, I've started using English at my work/in my job more, but I usually struggle with listening and writing skills.

This year, iI will start using English toin my work more, but iI usually struggle with listening and writing skills. This year, I will start using English in my work more, but I usually struggle with listening and writing skills.

This sentence is future tense.

This year, iI will start using English toin my work more, but iI usually struggle with my listening and writing skills. This year, I will start using English in my work more, but I usually struggle with my listening and writing skills.

I hope iI will becomeget better by getting help from everyoneothers. I hope I will get better by getting help from others.

get better/improve

I hope iI will becomeget better by getting help from everyone. I hope I will get better by getting help from everyone.

could use "improve" instead of "get better". Need getting form of verb after by.

I hope iI will become better by getting help from everyone. I hope I will become better by getting help from everyone.

I hope iI will become better by getting help from everyone. I hope I will become better by getting help from everyone.

I hope iI will become better (by getting help from everyone/with everyone's help). I hope I will become better (by getting help from everyone/with everyone's help).

Thanks and Hhappy New Year! Thanks and happy New Year!

happy does not need a capital letter.

Thanks, and Happy New Year! Thanks, and Happy New Year!