Corrected version:

I hope this letter finds you all well. Firstly, thank you all for giving me such appealing cards and gifts on an unprecedented occasion of the freshers' party in the office we had a year ago. 

Explanation: 

• "such an appealing cards and gifts" should be "such appealing cards and gifts."

• "an year before" should be "a year ago."

Improved version:

I trust this letter finds you in good health. Firstly, I extend my heartfelt appreciation to all of you for the delightful cards and gifts presented during the extraordinary freshers' party held at our office a year ago.

Corrected version:

As they arranged the freshers' eve in the office, we had a fantastic day. I was amazed after seeing the grand event that they presented to their freshers on the first day of the office. 

Explanation: 

• "the freshers eve" should be "the freshers' eve."

• "I got amazed" should be "I was amazed."

• "the first day of the office" could be clearer as "the first day at the office."

Improved version:

The arrangement of the office freshers' eve was exceptional, and it made for a fantastic day. I was truly astonished by the grandeur of the event organized to welcome the new recruits on their first day at the office. 

Corrected version:

The warm welcome that you gave us was very heartwarming. In our last job, we had encountered many problems, but now, as a countermeasure, new challenges will be tackled easily with the help of kind colleagues. 

Explanation: 

• "Warmwelcoming" should be "The warm welcome."

• "that you paid to us" is awkward; it's better to say "that you gave us."

• "traversed" should be "encountered" for clarity.

• "will be taken easily" should be "will be tackled easily."

Improved version:

The warm reception extended to us was genuinely heartwarming. In our previous job, we faced numerous challenges, but now, with the support of our friendly colleagues, we are better equipped to handle new obstacles effectively.

Corrected version:

Overall, please accept my deepest gratitude for the pleasant gifts, such as paintings, antiques, and other decorative materials. They will really help me design my home, especially the walls. Additionally, these showpieces will always remind me of the grand welcome that you gave us on the first day. 

Explanation:

• "for the pleasant gifts as paintings" should be "for the pleasant gifts, such as paintings."

• "It will really help me to design my home and specially walls" should be "They will really help me design my home, especially the walls."

• "show pieces" should be "showpieces."

Improved version:

In conclusion, I would like to convey my profound appreciation for the delightful gifts, including paintings, antiques, and other decorative items. These treasures will significantly contribute to the interior design of my home, particularly the walls. Furthermore, these exquisite showpieces will serve as a perpetual reminder of the warm reception we received on our inaugural day.

Corrected version:

 I am eagerly waiting to decorate my home with those foremost gifts and will definitely show you once it is done. 

Explanation: 

• "I eagerly waiting" should be "I am eagerly waiting."

• "once it done" should be "once it is done."

Improved version:

 I eagerly anticipate adorning my home with these exceptional gifts and will certainly share the results with you once the transformation is complete.