@xhandllc 

"I just wanna know if its possible to get the information in the way i see it right."

Your accounting method is determined by what method was selected when the business filed its first tax return.  You can't just decide to record income based on what you think it should be, you need to record based on what election was filed with the IRS.  If you wish to change it, you can file a Form 3115 with the IRS.  

Your point of view aligns with the accrual method of accounting.  If you're on accrual basis, then, yes, you should have $5K in Jan. income and $2K in Feb. income because, on accrual basis, you record income when it is earned.  In your example, you have $5K earned in Jan. and $2K earned in Feb. 

If you're on cash basis, income is recorded when cash is received so the down payments are income when received regardless of when the work is completed.  The way QB is handling those transaction is correct on cash basis.  You received $1,500 in down payments in January, hence you have $1,500 in income in January.  You received $5,500 in payments in February, hence you have $5,500 in income in February.