Tenses

Hi,

Please tell me if tenses are proper.

1.Setting a meeting date:

Hi, I was told that Jane and Joe agreed to have the next meeting on January 16th as I had suggested in the letter I wrote on Janurary 2nd. I feel had I had suggested the date of January 18, they wouldn't have agree to that date since it is likely that they would (not 'wil' correct??)l be going on a trip on that day.   

2. Planning for a task:

I  am going to work on this project on 2 p.m. this afternoon after I finish lunch. It will most likely take two hours to complete and I know that my uncle will be coming home at 3 p.m. When my uncle comes home, it is likely I will be working on my project and he will be coming in in the middle of my working on it. When my grand father comes home at 6 p.m. I will be no longer working on my project but I would have long finished my project and would have been sitting in my sofa, sipping a cold cup of cola, watching my favorite soap drama. I am looking forward to the time when I will be sitting in my sofa doing what I always like to do, sipping cola and watching my favorite soap.  

CJ 

Thank you for your help.

Why did you suggest this change? Is 'had suggested' good enough as a flash-back (seems to be  the term someone has used in this forum)? 

Your revisional work on this setence:

Hi, I was told that Jane and Joe agreed to have the next meeting on January 16th as I had suggested in the letter I wrote on my letter of Janurary 2nd 

Thank you. 

Thank you again. I hope you will answer these if possible.

What is the difference? I think 'would be' can be used to denote a past action just like ' would have been'.

.... they wouldn't have agreed (on that date) since it is likely that they would be going on a trip that day.

..., they wouldn't have agreed (on that date) since they would likely have been on a trip that day.    

To me, the phrases 'on that day' and 'that day' are both correct.