If I Drank A Half Pint Of Vodka A Day For Several Months. More During The Weekends. Will It Show Up If I Gave My Body A Rest For A Week?

Alcohol starts to metabolize in the body after 30-40 minutes of
drinking. It will be no more available in the blood after 1-2 hours of drinking and will no be detected in urine in the next few hours.
The excretion of alcohol also depends upon your body weight and liver and kidney conditions. Above description is for healthy person.
There is a test called EtG which can detect alcohol in urine for up to 80 hours. It don't tell the amount of alcohol drunk but can tell the drinking in recent time.
So, If you have normal body weight and functions then it is possible that you may or may not positive but in case of over weight, liver and kidney problems, you will definitely be tested positive after 5 days.

If you have normal body weight and functions then it is possible that
you may not positive after one week rest but in case of over weight, liver and
kidney problems, you will definitely be tested positive after one week. Excretion in fat peoples is delayed than the normal weighted peoples. Alcohol start to metabolize body after 30-40 minutes of
drinking. It will be no more available in the blood after 1-2 hours of
drinking and will no be detected in urine in the next few hours.

Get into AA and don"t delay.

No. According to the "rules" of drinking, drugging, and testing, alcohol is said to be gone within 8-12 hours of the time when your LAST drink was consumed. Play it safe, always give yourself at least 24 hours, minimum. 5 days is plenty of time to be alcohol free!