M.D.
If your period is late, it is enough time for tests to pick up pregnancy hormones. False negatives can happen, but that usually when people try to test before their period is actually late. I think you could buy a new test (any brand) and test again in 24-48 hours.
It sounds like you want to be pregnancy, but it's really too early to have pregnancy symptoms, IMO, so don't put too much weight on those (sorry).
If you still feel "off", the re-test in 48 hours is still negative, and your period doesn't come, please make an appointment with your OB.