We don't know the false negative and false positive rates of either type of test. Nor, therefore, do we know the true numbers of people testing positive (so we can't work out the numbers of false results - it's circular). SAGE suggests that the false positive rate is between 0.8% (8 per thousand tests, ie 800 per 100,000) and 4% (4000 per 100,000 tests). The higher figure is probably wrong because there were too few positive tests when cases were low in summer to support that.
The Lancet says that there are reports of false negative rates between 2% and 33% in repeated sample testing. We do know that the time since infection is a very important factor in how likely a negative is to be false. The American College of Cardiology reports that a day 8 test, which they say is 3 days after onset of symptoms on average, is the least likely to produce a false negative.
What we do know is that if cases are low and test numbers are high we are more likely to get false positives, as false positives are a proportion of the tests carried out. False negatives are a proportion of the number of cases, so there will be more of them when there are a lot of people who should be testing positive.
We also know that the PCR test is set up to pick up Covid RNA (to put it simply). It does not differentiate between potentially infective RNA or RNA that is inactive, for example because the body's immune system has dealt with it. The immune system works by destroying the body's cells with the Covid in (simply, again) so a lot of 'debris' will be left, including 'scraps' of deactivated RNA. This is one reason why it is possible to get a positive test result months after the original infection. (We do not know the maximum number of months this is possible for, it's probably a range).
For you, none of this tells you much because your 'sample' (number of tests) is too small. We know that if you toss a coin 6 times statistically you 'should' get 3 heads and 3 tails and this 50-50 will be the outcome of thousands of tosses. But it's not uncommon to get 6 of one, or any other combination, from just 6 tosses.