Ideally a HIV antibody test should be done within a month of exposure (negative in your case). Almost everyone who is infected will have a positive antibody test within 3 months. Hence it should be repeated after 3 months (negative in your case). Last test should be done at 6 months for slow antibody developers. If this is negative HIV is ruled out. So yes, though the chances of test being positive at 6 months are very less, do go for that to completely rule out the disease.
A flu shot can give a positive HIV ELISA test, so since you have been negative, your test has not been affected.
Hope this helps. Take care!
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